Proceedings of 43IMC-English Part

The 43rd Annual IranianMathematics ConferenceUniversity of Tabriz, August 27-30, 2012Tabriz, Iran

Proceedings of Conference

Prepared By:Mohammad Hossein JafariMorteza Faghfouri

Editors:Asghar RanjbariMohammad ShahryariAlireza Madadi

Second EditionSeptember 2012

� c⃝� University of Tabriz

The 43rd Annual Iranian Mathematics Conference, 27-30 August 2012, University of Tabriz

ContentsTalks

Algebra

Lower bounds of certain local cohomology modulesM. Aghapournahr . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .27

Valuation and pseudo-valuation modulesMaryam Ahmadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .31

A concept unifying the weak Armendariz and strongly McCoy conditionsA. Alhevaz and D. Kiani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35

Splitting of extensions in the category of locally compact abelian groupsH. Sahleh and A. A. Alijani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38

Some special character degree sets yield direct productsKamal Aziziheris . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41

Full symmetry classes of polynomialsEsmaeil Babaei and Yousef Zamani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .44

Group actions in the finite Morley rank settingAyse Berkman . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48

Artinian formal local cohomology and its coassociated primesM. R. Mastani and M. Eghbali . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50

Pairwise non-commuting elements in 3-groups of maximal classShirin Fouladi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52

Semisymmetric cubic graphs of order 14p2

Azam Babai and Behrooz Khosravi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .55

Some properties of the groups 3D4(q)Maryam Ghorbany . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .57

On direct sum of branches in hyper BCK-algebrasHabib Harizavi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61

Hilbert series of zero-dimensional ideals with 2 and 3 variablesS. Faghfouri, J. Hossein Poor and R. Zaare-Nahandi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65

On 7-centralizer and 8-centralizer groupsSeyyed Majid Jafarian Amiri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .67

Modules whose intersection graph of submodules is completeSomayeh Khalashi Ghezelahmad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

Type’s properties in rings: Determination for some rank three torsion-free groupsA. M. Aghdam and F. Karimi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .71

On near Armendariz ringsKh. Khalilnezhad and H. Haj Seyyed Javadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74

1


On Π-near-Armendariz ringsZ. Khazaee and H. Haj Seyyed Javadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77

Ideal theory of bounded BCK-algebrasR. A. Borzooei and S. Khosravi Shoar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

The additive groups of torsion-free rings whose subgroups are subrings in every ringA. Najafizadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85

Some results on codes over certain ringsM. Mehrdad and N. Zamani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88

Subdirectly irreducible in the category of S-posetsGh. Moghaddasi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91

Amalgamation in pomonoids and representation extensionLeila Mohaghegh Pour and Parisa Rezaei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94

Some characterizations of solvable Lie algebrasHamid Mohammadzadeh and Ali Reza Salemkar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96

Local Noether lattice and Cohen-MacaulayAli Molkhasi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99

Lie derivations on module extension algebrasH. R. Ebrahimi Vishki and A. H. Mokhtari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .102

Characterization of linear and T -linear invertible algebras by functional equationsEbrahim Nazari and Yuri Movsisyan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104

Fully primary modulesA. Nikseresht and H. Sharif . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108

Determining p-groups whose automorphism group is general linear groupReza Orfi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112

Relocation ternary Γ-semihyperringsS. Ostadhadi−Dehkordi and M. Heidari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115

Two classes of rings generated by their unitsNahid Ashrafi and Neda Pouyan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119

Monomial ideals with k-resolutionRahim Rahmati Asghar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .122

Locally nilpotent maximal subgroups of the general linear groups over division ringsD. Kiani and M. Ramezan-Nassab . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127

Some inequalities on the relative commutativity degreeZahra Riyahi and Ali Reza Salemkar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .129

On set-valued module homomorphismM. Saberifar and S. B. Hosseini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132

Some remarks on the number of nonlinear faithful charactersAmin Saeidi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136

2


Some results on quasi-primary idealsM. Samei, F. Rashedi and H. Fazaeli Moghimi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138

Finiteness dimension and Bass numbers of generalized local cohomology modulesHero Saremi and Amir Mafi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141

dc-Injectivity of S-posetsLeila Shahbaz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143

A perspective to properties of Zariski topologyS. Shahoseini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147

On the symmetry classes of tensors associated with certain Frobenius groupsN. Shajareh Poursalavati . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .150

Linear codes over finite modulesM. Taghinezhad, SH. Samadi and N. Zamani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .154

(⊙,∨)-Derivations on BL-algebrasL. Torkzadeh and L. Abbasian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156

Vanishing and artinianness of local cohomology modulesAlireza Vahidi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160

Betti numbers of local cohomology modulesAlireza Vahidi. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164

Resolution of ideals which are minimal to d-linearityMarcel Morales, Ali Akbar Yazdan Pour and Rashid Zaare-nahandi . . . . . . . . . . . . . . . . . . . . . . . . . 168

Analysis

Generalized frames containing a g-Riesz basisMohammad Reza Abdollahpour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174

Some coincidence point results for E-contractions in uniform spacesAris Aghanians and Kourosh Nourouzi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177

Compact homomorphisms between extended Lipschitz algebrasDavood Alimohammadi and Ebrahim Analoei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .180

Duals of ∗-g-frames in Hilbert C∗-moduleA. Alijani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .183

Involutions on topological centers of Banach ∗-algebrasFatemeh Akhtari and Rasoul Nasr-Isfahani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .187

System of imprimitivity on locally compact groupoidsHabib Amiri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191

Some approximate fixed point results for generalized α-contractive mappingsM. A. Miandaragh and Sh. Rezapour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194

Properties of p-valent meromorphic functions included Ruscheweyh-Salagean operatorsP. Arjomandinia and A. Ebadian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196

3


The set of linear preservers of majorizationA. Armandnejad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200

What can be said about the extended geodesic and CAT (0) spacesMehdi Asadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203

Some notes on locally convex quotient lattice conesDavood Ayaseh and Asghar Ranjbari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207

An invariant subspace for composition operatorsMohammadreza Azimi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211

Generalization of the related Carlson type inequality for fuzzy integralsBayaz Daraby . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215

Mann’s algorithm for strict pseudo-contractions in CAT(0) spacesHossein Dehghan and Jamal Rooin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219

Application of a new version of Haar wavelet for solving linear integral equationsMohammad Ali Dehghan and Majid Jamalpour Birgani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223

Ternary structure of lω1 (S)Mehdi Dehghanian and S. M. S. Modarres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227

On some Hadamard type inequalities for (α,m)-convex functionsN. Eftekhari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231

Essential norm of finite sum of weighted composition operators on Lp(Σ)Yousef Estaremi and Mohammad Reza . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .235

Existent idempotents in minimal left idealsA. M. Forouzanfar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 238

Condensation rank of injective Banach spacesMajid Gazor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241

On near set-valued derivation-like equationM. Janfada, H. Ghasemi and Z. Ghasemi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245

Spectrum preserving linear map on liminal C∗-algebrasFatemeh Golfarshchi and Ali Asghar Khalilzadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 248

Be careful on partial metric fixed point resultsR. H. Haghi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250

Some new fixed point results of contractive multifunctionsJ. Hasanzade Asl . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 253

Some results of weighted composition operators on weighted Bergman spaces and weighted BlochspacesMostafa Hassanlou and Hamid Vaezi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 256

Positively full Hilbert C∗-modulesMahdi Imaninezhad and Maryam Amyari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 260

Weighted Frobenius-Perron operators on Lp spacesM. R. Jabbarzadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263

4


Numerical range of operators acting on Banach spacesKhadijeh Jahedi and Bahmann Yousefi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265

Weighted transform and function approximationS. Jahedi and F. Javadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269

Some properties of Lambert multipliersSannar Khalil Sarbaz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 272

Characterization of unitary and self-adjoint operators using elementary operatorsMaryam Khosravi and Negin Naseri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275

An operator extension of Csiszar’s resultMohsen Kian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 277

The existence of non-zero weakly compact left multipliers on ideals of L∞(G)∗

Mohammad Javad Mehdipour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281

(ϕ, ψ)-Derivations mapping into the primitive idealsH. Mohammadian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283

Some results on ⟨.⟩h-approximate fixed points in ⟨.⟩ for two mapsS. A. M. Mohsenalhosseini and H. Mazaheri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .286

σ-Approximately contractible Banach algebrasM. Momeni and T. Yazdanpanah . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289

Positive answer to Olaleru’s open problemSirous Moradi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293

On Edelstein-Suzuki-type fixed point theoremFridoun Moradlou and Peyman Salimi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 296

Jordan product and operator monotone functionsHamed Najafi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .299

A property of nilpotent ideals in certain Banach algebrasHasan Pourmahmood-Aghababa . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 302

On introducing a class of semiorthogonal wavelets and their applicationsZ. Rahbani and A. Askari-Hemmat . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 306

Multipliers of controlled G-framesAsghar Rahimi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 310

Extension of pg-frames via Bochner spacesMorteza Rahmani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313

Metric convexity and F -spacesHadi Khatibzadeh and Sajad Ranjbar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .317

Weighted composition operators between growth spaces and logarithmic growth spaceSH. Rezaei and H. Mahyar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .321

Near identity pair framesAbolhassan Fereydooni and Ahmad Safapour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325

5


The solution set of variational inequality related to the B-psaudomonotone mappingsI. Sadeqi, M. Salehi and S. Shoorche . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327

Hardy inequality and its applications in control theoryMorteza Fotouhi and Leila Salimi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331

Evaluation operators and Gelfand-Phillips property in closed subspaces of some operator spacesM. Salimi and S. M. Moshtaghioun . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335

New results on operator monotone functionsMohammad Sal Moslehian and Hamed Najafi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 338

Biseparating maps on Banach algebras of vector-valued functionsT. Ghasemi Honary, A. Nikou and A. H. Sanatpour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341

Compactness of Volterra operators on weighted Bergman spacesA. H. Sanatpour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345

Biseparating maps on Frechet function algebrasM. S. Hashemi, T. Ghasemi Honary and M. Najafi Tavani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .348

Fourier algebra as a multi-Banach spaceMarzieh Shams Yousefi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 352

Twisted partial actions on C∗-algebrasB. Tabatabaie Shourjeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 356

On ideally factored Banach algebrasT. Yazdanpanah and S. A. Haji-Mirzaee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 359

Geometry and Topology

Some notes on the isometric action of SL(2,R) on the de Sitter space S21

P. Ahmadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365

Codimension reduction on contact CR-submanifoldMehri Asadollahzadeh, S. H. Kon and Loo-Tee How . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .367

Cartan equivalence problem for linear differential operatorsR. Bakhshandeh Chamazkoti and M. Nadjafikhah . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 374

Equivalence of invexity and convexity along paths on Riemannian manifoldsA. Barani and M. Ghasemi Kamalvand . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 378

LS-category and topological complexityMarzieh Bayeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 381

A consideration of Lie groupoid and 2-dimensional sphere S2 as a Galois covering spaceM. R. Farhangdoost, T. Nasirzade and M. Ghoshooni . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 383

Ricci flow for left invariant metrics on Non-Unimodular simply connected three-dimensional LiegroupsHajar Ghahremani Gol and Asadollah Razavi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 386

Lie symmetry method for Kawahara equations family

6


Mir Sajjad Hashemi, Ali Haji Badali and Maryam Ghahremani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 390

6-Nearly Kahler hypersurfaces in space formsN. Heidari and A. Heydari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 394

On Kleinian manifolds and related Map(MG) and Map(∂MG) groupsMajid Heydarpour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 398

Contact 3-structure QR-warped product submanifold in Sasakian space formMohammad Ilmakchi, Esmaiel Abedi and Zahra Nazari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 400

Integral invariants of Hamiltonian systemsMehdi Nadjafikhah and Parastoo Kabi-Nejad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 403

Estimates for the higher order mean curvature of a Euclidean hypersurfaceA. Mohammadpouri and S. M. B. Kashani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 407

A note on Silverman’s conjectureK. Nabardi and R. Naghdali Forooshani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 409

Some properties of m-th root Finsler metricsA. Nankali . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .413

On the index of r-stability of hypersurfaces in space formsFirooz Pashaie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .416

A class of g-natural metrics on Finsler manifoldEsmaeil Peygan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .420

A Gyrovector space approach to trigonometry in Beltrami-Klein model of hyperbolic geometrySayed-Ghahreman Taherian and Mahfouz Rostamzadeh. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 424

Some properties of Matsumoto-type Finsler metricsA. Tayebi and H. Sadeghi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 428

Homogeneity properties with certain mapsMohammad Abry and Shobo Sadeghi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 432

New forms of the classical separation axioms on closure spacesGhasem Mirhosseinkhani, Samad Salamati Hormozi and Ghasem Naeimi . . . . . . . . . . . . . . . . . . . 435

An introduction to modular forms and L-functionsArman Sh. Zargar and Foad Khoshnam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .438

On theory of m-th root Finsler metricsA. Tayebi and T. Tabatabaeifar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 441

Properties of trans-Sasakian manifoldsAbolfazl Taleshian and Nader Asghari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 444

A new projective invariant in Finsler geometryAkbar Tayebi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 447

Lie point symmetries, some group invariant solutions and optimal system of the EW equtionAli Haji Badali, Mir Sajjad Hashemi and Parisa Vafadar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 450

7


Numerical Analysis and Differential Equations

Finite difference scheme for the solution of two-dimensional convection-diffusion equation withtime fractional derivativeMostafa Abbaszadeh and Akbar Mohebbi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 455

Order stars and order arrowsA. Abdi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 465

Construction of efficient second derivative methods for stiff differential systemsA. K. Ezzeddine and A. Abdi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 468

Superconvergence of a finite element approximation to the solution of double discrete barrier op-tionA. Golbabai and D. Ahmadian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .472

The modified variational iteration method and Elzaki transform for solving heat-like equationsMozhgan Akbari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 476

Solution of boundary value problems by Spline radial basis functionsS. R. Alavizadeh and F. M. Maalek Ghaini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479

The general solution to system of linear quaternion matrix equations with applicationsGhodrat Ebadi, Nafiseh Alipour Asl and Somayeh Rashedi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 482

Numerical solution of nonlinear ordinary differential equations using Bernstein polynomials andtheir orthonormal dualsM. R. A. Darani and A. Ansari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486

Boundary value problems for real order differential equationsAsghar Ahmadkhanlu, Mohamad Jahanshahi and Nihan Aliev . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 489

A matrix approach to solving a system of fractional differential equationsM. H. Atabakzadeh, M. H. Akrami and G. H. Erjaee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 493

Numerical solution of linear Fredholm integro-differential equations by using biorthogonal multi-scaling functionsE. Ashpazzadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 497

New modified of homotopy perturbation method and its convergenceZainab Ayati . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 501

Numerical solution of the nonlinear Fredholm integral equations of the second kind by radial basisfunctionsJalil Rashidinia, Yaqub Azari and Gholamreza Garmanjani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 505

A numerical solution for fractional partial differential equations via a semi-discrete scheme andcollocation methodH. Azizi and G. B. Loghmani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 509

Solving fuzzy linear equations using weighted fuzzy arithmeticA. Rivaz and M. Azizian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 513

Numerical solution of an inhomogeneous heat equation by the product integration methodB. Babayar-Razlighi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 515

Existence and uniqueness of solutions for integral equations with singular kernel

8


O. Baghani, M. Gachpazan and Z. Ghazvini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 519

Sinc-Galerkin method for numerical solution of time-dependent linear convection-diffusion equa-tionJ. Rashidinia and A. Barati . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 523

Variational iteration method for solving systems of linear delay differential equationsSara Barati and Karim Ivaz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .527

Multi-symplectic wavelet collocation method for the Zakharov systemN. Barghi Oskouie and M. Lakestani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531

An application of a compact finite difference method in image denoisingM. Bastani, F. Akbarifard and N. Aghazadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 534

The existence of periodic solutions for the nonlinear fifth order autonomous ordinary differentialequationsMorteza Bayat and Zahra Khatami . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 538

A direct method for the numerical solution of nonlinear two-dimensional Fredholm integral equa-tionsS. Bazm and M. Mehdizadeh Khalsaraei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 542

Solving the one-phase Stefan problem using the homotopy perturbation methodK. Ivaz, A. Beiranvand and M. S. Dehkordi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 546

General solution of Fisher equations by matrix differential transformation methodAbdollah Borhanifar and Sohrab valizadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 551

A new approach for determining the solution of the Volterra integral equations with convolutionkernelK. Maleknejad and T. Damercheli . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554

Numerical solutions of two-point linear boundary value problems under uncertaintyM. Darabadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .558

Higher-order asymptotic formula for the eigenvalues of Sturm-Liouville problem with indefiniteweight function in the case of y(a) = y′(b) = 0, y′(a) = y(b) = 0F. Dastmalchi Saei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .562

Jacobi pseudospectral method for a class of singular boundary value problems arising in physiologyAmjad Alipanah and Niloofar Dehghan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 571

Load balanced parallel block QR decompositionS. Shahmorad and M. Famil Barraghie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 578

Numerical solution of Schrodinger equation based on the homotopy analysis methodMohammad Ali Fariborzi Araghi and Amir Fallahzadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 582

A numerical method for solving nonstiff Volterra integro-differential equationsS. Fazeli . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 586

Solving stiff system of fractional differential equations by fractional complex transformBahman Ghazanfari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 589

J-Normal matricesM. Ghasemi Kamalvand and M. Mousavi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 592

9


On the order of weighted approximation of unbounded functionsArash Ghorbanalizadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 596

Price dynamics and dividend structureMohammad Reza Haddadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 599

Analytical solution for the generalized Kuramoto-Sivashinsky equation by differential transformmethodSaeideh Hesam, Alireza Nazemi and Ahmad Haghbin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 601

General linear methods for chemical stiff ODEsSaeed Bimesl and Gholamreza Hojjati . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 605

Second derivative general linear methods in Nordsieck form for IVPsAli Sharbaf Foroghi and Gholamreza Hojjati . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 609

Solution of nonlinear multi-order fractional differential equations by Legendre wavelet methodM. R. Hooshmandasl, M. H. Heydari and F. M. Maalek Ghaini . . . . . . . . . . . . . . . . . . . . . . . . . . . . .613

A computational method for solving two dimensional nonlinear Fredholm integral equationsS. A. Hosseini and S. Shahmorad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 617

A new spectral-collocation method for solving multi order fractional differential equationsS. Gh. Hosseini, F. Mohammadi and M. H. Heidari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 621

Application of block pulse functions to numerical solution of a stochastic SIR modelF. Hosseini Shekarabi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 625

A new approach for determining the convergence control parameter in HAMM. Jalili, J. Izadian and S. Abbasbandy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .629

An adaptive solution for operator equations by using frames of translatesHassan Jamali . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 633

Numerical solution of a class of fractional differential equationsSh. Javadi and M. Jani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 637

Bifurcation analysis of a simplified BAM neural network model with time delaysElham Javidmanesh and Zahra Afsharnezhad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 641

Exact solutions of the nonlinear equations using (G′

G )-expansion methodH. Jafari and N. Kadkhoda . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 644

Numerical solution of fourth order ordinary differential equation by quintic Spline in the NeumannproblemLiparat Tepoyan, Daryoush Kalvand and Esmaeil Yousefi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 648

A new iterative solution method for solving multiple linear systemsSaeed Karimi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 652

Approximate solutions of an inverse nonlinear diffusion problem with a nonlocal constraintGholamreza Karamali . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 656

Comparison between Sinc collocation method based on double exponential transformation andradial basis function for integral equationsGh. Kazemi Gelian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 660

10


A meshless approximate solution of Mixed Volterra-Fredholm integral equationsH. Laeli Dastjerdi and F. Maalek Ghaini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 668

Highly oscillatory integrals of a general class: A review of most recent numerical methodsHassan Majidian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .672

Application of the Exp-function method for solving the combined KdV–mKdV and Gardner–KPequationsMehrdad Lakestani and Jalil Manafian Heris . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 675

A new two-step method with nine-order convergence for solving nonlinear equationsM. Matinfar and M. Aminzadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 679

On the positivity step size coefficient of the classical explicit fourth-order Runge-Kutta methodM. Mehdizadeh Khalsaraei and S. Bazm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 683

An improved expansion-iterative method for numerical solving of Fredholm-Voltrra integral equa-tionMehdi Ramezani and Shohreh Mehranpour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 687

Comparison between homotopy perturbation, homotopy analysis and Adomian decompositionmethods for solving the Benney-Lin equationEsmail Hesameddini and Morteza Mirzayi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .691

Monotonicity of the ground state energy in a circular quantum dotFariba Bahrami and Abbasali Mohammadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .695

Positive solutions of an initial value problem for nonlinear fractional differential equationsD. Baleanu, H. Mohammad and h. Rezapour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 698

Determination of a control function in one-dimensional parabolic equations by using LagrangefunctionsH. Aliyari, M. Ranjbar and M. A. Mohebbi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 701

Solving a general nonlinear Fredholm integro-differential equation under the mixed conditionsAhmad Molabahrami . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 704

A practical review of the Adomian decomposition methodAhmad Molabahrami. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 708

Strong order of stochastic Runge–Kutta methods for both commuting and non–commuting stochas-tic differential equationsM. Namjoo and H. Salmei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 712

Preconditioned basic iterative methods for M and H-matricesH. Nasabzadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 716

Some notes on multi-order fractional integro-differential equationsD. Nazari and M. Jahanshahi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 719

Efficient solution of a free boundary value problem in financeAbdolsade Neisy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 723

Galerkin and collocation methods for the solution of Kelin-Gordon equation using interpolatingscaling functionsAlireza Hazrati, Behzad Nemati Saray and Mohammad Shahriari . . . . . . . . . . . . . . . . . . . . . . . . . . . 726

11


A numerical solution of non-linear Fredholm integro-differential equationsAli Khani and Saeid Panahi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 730

On the convergence of the Gl-GMRES method for solving the general coupled linear matrix equa-tionsFatemeh Panjeh Ali Beik and Davod Khojasteh Salkuyeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 734

An iterative algorithm for the generalized (P,Q)-reflexive solution of the coupled Sylvester-transposematrix equationsFatemeh Panjeh Ali Beik and Davod Khojasteh Salkuyeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 738

Meijer’s G-functions as the solution of Schrodinger equationAmir Pishkoo and Maslina Darus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 742

Sinc-collocation method for solving singular initial value problemsH. Pourbashash and H. Kheiri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 745

Alternating direction implicit scheme for two-dimensional parabolic equationSomayeh Pourghanbar and Ensiyeh Sadeghi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .749

Application of parametric Spline for solution of boundary value problemsNader Rafati Maleki and Karim Farajeyan Bonab . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 752

Estimate on solutions of Stokes-Boussinesq system in a tubeMohammadreza Raoofi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .754

A representation of the general common solution to a system of real quaternion matrix equationswith applicationsGhodrat Ebadi, Somayeh Rashedi and Nafise Alipour asl . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .758

Finite element solution of well-known Hirota-Satsuma coupled MKdV equationP. Reihani Ardabili . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 762

Homotopy perturbation method to obtain solution of the fractional Sharma-Tasso-Olver equationEsmail Hesameddini and Mohsen Riahi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 765

The Sinc-collocation method for solving a problem arising in chemical reactor theoryAbbas Saadatmandi and Somayye Yeganeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 769

Well-posedness of an evolution Volterra equation with completely monotonic kernelFardin Saedpanah . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 773

A homotopy based method for solving systems of linear equationsJamshid Saeidian and Esmail Babolian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 776

Presentation of analytic solutions for first kind Fredholm integral equationsN. Aliev, M. Sajjadmanesh and M. Fatemi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 780

Multivariate quasi-interpolation scheme for solving the two-dimensional Burgers’ equationsM. Sarboland and A.Aminataei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 787

Fuzzy stochastic differential systemS. Siah Mansouri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .791

Some bounds for the generalized singular valuesMaryam Shams Solary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 796

12


Numerical method of second order fuzzy differential equation (SOFDE) by characterization theo-remS. Siah Mansouri and Y. Koochakpoor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 799

A well-posedness of the Sine-Gordon equation using homotopy perturbation methodZ. Soori and A. Aminataei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 804

Solution of the nonlinear Lane-Emden type equations arising in astrophysicsN. Taheri, J. Rashidinia and M. Nabati . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 808

A predictor-corrector scheme for solving Riccati differential equations of fractional orderH. Jafari and H. Tajadodi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 811

A numerical solution for two-dimensional inverse parabolic problemF. Torabi and R. Pourgholi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 815

A methodology of solution for solving Saint-Venant equations by finite element methodFatemeh Zarmehi and Ali Tavakoli . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 819

Dynamical Systems

Scattering and weak disjointness in topological dynamical systemsDawoud Ahmadi Dastjerdi and Maliheh Dabbaghian Amiri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 825

Relative semi attractorsMehdi Fatehi Nia and Vahideh Jafari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 829

Global stability of disease-free equilibrium of HIV transmission model without health educationprogramAzizeh Jabbari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 833

(S, S′)-gap ShiftsDawoud Ahmadi Dastjerdi and Somayeh Jangjoo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 836

Dynamics of geodesic flow on ⟨z + 2,− 1z ⟩\H

Dawoud Ahmadi Dastjerdi and Sanaz Lamei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 839

The homology of Smale spacesS. Saeidi Gholikandi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 842

A chaotic secure communication scheme using adaptive projective synchronizationV. Vafaei, H. Kheiri and A. Jodayree Akbarfam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 846

On the shadowing property of the nonautonomous dynamical systemH. Rasul . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .849

The infinite level normal form of Hopf-zero singularityMajid Gazor and Fahimeh Mokhtari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 851

A note on non uniformly expanding point and stable ergodicityAlireza Zamani Bahabadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 855

Limit shadowing and average shadowing property in linear dynamical systemsAlireza Zamani Bahabadi. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 858

13


Operations Research

A heuristic procedure for solving the uncapacitated single allocation hub location problemRoya Abyazi Sani and Reza Ghanbari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .864

A new method for solving of problems in calculus of variationsM. Alipour and M. A. Vali . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .867

A path-following algorithm for P∗(κ)-horizontal linear complementarity problem based on Darvay’sdirectionsS. Asadi and H. Mansouri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 871

Generalized Hermite-Hadamard integral inequalityA. Barani and N. Abbasi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 875

A performance improvement-based resource allocation in DEAAkram Dehnokhalaji and Nasim Nasrabadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 878

High dimensional optimization in genetic algorithm based on optimal Halton sequencesAsghar Eskandari Chechaglou and Behrouz Fathi Vajargah . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 881

Solving a multiobjective linear programming problem using ball center of polytopesA. H. Dehmiry and M. A. Yaghoobi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 885

Matrix games of interval data by solution linear programmingAbolghasem Khakbaz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .889

Solving nonconvex quadratic problems using neural networksA. Malek and N. Hosseinipour-Mahani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 898

Interactive compensatory programming for decentrlized bilevel linear fractional programming prob-lemZ. Maleki and M. Zangiabadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 902

Solution of a class of nonlinear optimal control problemsM. Matinfar and M. Saeidy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 906

Target setting in DEA with interval scale dataNasim Nasrabadi and Akram Dehnokhalaji . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 910

Equity in multiproduct supply chain networkMina Saee Bostanabad, Javad Mehri-Tekmeh and Ali Moghanni Dehkharghani . . . . . . . . . . . . . . 912

Optimal estimation over networked control systems with packet lossesNayereh Zolfaghari and Mohammad Taghi Dastjerdi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 915

Lagic

Weakly definably connected sets in weakly o-minimal structuresJafar S. Eivazloo and Somayyeh Tarei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .921

Filters and quasiuniformity on BL-algebrasNader Kouhestani and R. A. Borzooei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 925

14


Addition property and weak cell decomposition in weakly o-minimal structuresJafar S. Eivazloo and Somayyeh Tarei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .929

Sandwiches of Kripke modelsMostafa Zaare . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 932

Combinatorics

Generalizing splitting off operation for binary matroid and its applicationsFeridoon Alejafar and H. Azanchilar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 937

Graphs whose independence and domination polynomials have real rootsSaeid Alikhani and Mohammad R. Piri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 940

On the number of cycles in simple graphsMasoud Ariannejad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 942

Game roman domination numberAli Bahremandpour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .944

The locating chromatic number of graphsAli Behtoei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 946

Coloring of 4-cycle systemsA. Ilkhani and D. Kiani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .950

Edge coloring of graph fractional powersMoharram N. Iradmusa . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 953

Randomly dimensional graphsMohsen Jannesari and Behnaz Omoomi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 957

On construction for tree decomposition of hypercube QnNegin Karisani and E. S. Mahmoodian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .960

The upper k-tuple total domination number of graphsAdel P. Kazemi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 963

Edge star setsA. Mahmoodi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .966

Relation between topological indices of graphs based on eccentricity of verticesMojgan Mogharrab . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 970

Critical sets for circulant latin squaresM. S. Najafian and M. Khodadad Omran . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 974

Study of some models for spread of influence in social graphsMitra Nemati Andavari and Manouchehr Zaker . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 977

k-Tuple total domination in cartesian product graphsAdel P. Kazemi and Behnaz Pahlavsay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .981

Coloring the dth power of the cartesian product of two cyclesE. Sharifi Yazdi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .983

15


An investigation on the chromatic number of (Pm�Pn)d for special casesE. Sharifi Yazdi. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 987

Some bounds for the size of the smallest dynamic monopolies in graphsHossein Soltani and Manouchehr Zaker . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 990

A note on four classes of graphs with subdivided edgesZahra Yarahmadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 993

Probability and Statistics

Prediction of α-stable processes with incomplete pastAli Abolhasani and Mina Aminghafari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 999

Reliability for two Log-normal populations with common meanK. Abdollahnezhad, F. Yeghmai, A. A. Jafari and S. Aghadoust . . . . . . . . . . . . . . . . . . . . . . . . . . . 1002

Minimum χ2-divergence joint probability density function given prior density function and mo-mentsSolmaz Seifollahi Kosehlar and Hossein Bevrani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1007

Estimation of P (Y < X) for Lindley distribution in the presence of one outlierParvin Fathipour, Ali Abolhasani and Maryam Abolhasani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1012

A random variable distributed between two random variablesM. Hamel Darbandi, A. Hamel Darbandi and R. Salimpoor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1016

Stieltjes transformH. Homei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1021

Transformation method for estimating P (X < Y ) in the case of three parameter generalizedRayleigh distributionHossein Jabbari Khamnei and Parvin Fathipour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1028

A computational approach test in two power law distributionsA. A. Jafari, K. Abdollahnezhad, F. Yeghmai and S. Mahmoudi . . . . . . . . . . . . . . . . . . . . . . . . . . .1032

On Log-concavity of skew-symmetric distributions and their applications in penalized linear mod-elsVahid Nassiri and Ignace Loris . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1037

On the quartic loss estimationM. Arashi and M. Norouzirad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1040

Mathematics in Science and Technology

Multiparty semiquantum secret sharing using entangled statesMassoud Hadian Dehkordi and Elham Fattahi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1046

Traveling wave solutions of a biological reaction-convection-diffusion equation model by using(G′/G) expansion methodSh. Javadi, M. Jani and J. Tayyebi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1050

16


The inverse 1-median problem on a planeMohammadreza Galavii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1054

Some properties of Laplacian matrix of saturated hydrocarbonsA. M. Nazari and M. Ahmadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1057

PostersAlgebra

Matrix valuation pseudo ringM. H. Hosseini, S. Amirirad and R. Ahmadibootegaz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1064

Tensor product of multiplication modulesSoleyman Asgary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1067

Introducing a large non-commuting subset of general linear group using maximal torusAzizollah Azad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1070

On generalized rough modulesS. Babaee Savasari, S. B. Hosseini and M. Saberifar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1072

Generalized rough set in semi-latticesE. Hosseinpour and S. B. Hosseini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1076

Sum of element orders on groups of order 168Seyyed Majid Jafarian Amiri. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1079

The Dieudonne determinant and valuation on matrices and cubic matrices over skew fieldM. H. Hosseini and S. Kakaabdollah . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1081

A residual transcendental extension of a valuation on K to K(x1, . . . , xn)S. Kakaabdollah and M. H. Hosseini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1085

Irreducible ideals and topological latticeAli Akbar Mehrvarz and Ali Molkhasi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1089

A perspective to properties of multiplication and co-multiplication modulesF. Naderi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1092

Complex and hypercomplex structures on Lie superalgebrasFirooz Pashaie. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1095

On the number of 5-ary algebraic operations of idempotent algebrasJ. Pashazadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1098

The n-th commutativity degree of some classes of 2-generator groups with nilpotency class 2Mansour Hashemi and Mikhak Polkouei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1101

A note on power values of derivation in semiprime ringsVenus Rahmani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1104

A result on generalized derivations with Engel conditionsShervin Sahebi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1107

17


A study of important group theoretical concept in graph theoryZahra Yarahmadi. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1110

Analysis

A review of a theorem of Johnson on Jordan derivations and a theorem of Goldstein on bilinearformsM. Abtahi and M. Tajari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1114

The composition of ∗-g-frames in Hilbert C∗-modulesA. Alijani. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1117

Fixed points of (G,ψ)-contractions in metric spaces endowed with a graphAli Broomandnia and Kourosh Nourouzi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1121

Relations between representations, ternary representations and medial representations of a ternarygroupMehdi Dehghanian, Morteza Afshar and Mohammad Mehdi Ghoje Beig . . . . . . . . . . . . . . . . . . . .1124

On properties of some classes of bounded linear operators on Hilbert spacesR. Eskandari , H. Rahmatan and F. Mirzapour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1127

Best approximation and new results in fixed pointMohammad Reza Haddadi. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1130

Weak amenability of fourth dual of a Banach algebra AMina Ettefagh and Sima Houdfar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1133

Majorization and Euclidean distance matricesA. Ilkhanizadeh Manesh and A. Armandnejad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1139

Induced Hilbert C∗-modules by ∗-isomorphismsMahdi Imaninezhad and Reza Ahmadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1142

Some characterizations of EP matricesMaryam Khosravi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1146

σ−Biflatness of Banach algebrasT. Yazdanpanah and I. Moazami Zadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1149

On subspace hypercyclicity criterionMansooreh Moosapoor and Sorayya Talebi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1157

Fixed point theorem in partially ordered metric spaces and its applicationSirous Moradi. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1160

Some fixed point results in cone Banach type spacesPeyman Salimi and Fridoun Moradlou . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1164

Alzer inequality for two operators in Hilbert spacesAli Morassaei and Farzollah Mirzapour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1167

Some results on fundamental locally multiplicative topological algebrasAli Naziri-Kordkandi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1169

18


Multiwavelets and multivariate waveletsZ. Rahbani and A. Askari-Hemmat. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1172

g-Riesz basis in Hilbert C∗-moduleSayyed Mehrab Ramezani and Akbar Nazari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1175

The Hankel operator on l2 spaceA. Iloon Kashkuly and F. Sheikhy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1178

Geometry and Topology

Some topologies on a spacetime such as a posetK. Abrishamkar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1183

On the causal character of the orbits in cohomogeneity one Minkowski space R31

P. Ahmadi. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1186

D−Recurrent Hopf hypersurfaces of Sasakian space formMohammad Ilmakchi and Esmaiel Abedi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1188

Lie superalgebras with integrable left invariant para-hypercomplex structuresFatemehe Gholami . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1191

Some Lie superalgebras with complex product structuresFatemehe Gholami. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1194

EAC manifolds with structure group G2

Masoud Aminizadeh, Mahdi Kamandar and Ali Abdollahi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1197

Some result about G2-manifolds and its application in Soliton equationMasoud Aminizadeh, Mahdi Kamandar and Ali Abdollahi. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1201

Defect and area in Beltrami-Klein model of hyperbolic geometrySayed-Ghahreman Taherian and Mahfouz Rostamzadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1204

On soft connected topological spacesE. Peyghan and B. Samadi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1207

Numerical Analysis and Differential Equations

Local well-posedness for the initial-value problem for the nonlinear Schrodinger equationF. Ahmadi zeidabadi and S. M. Hoseini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1212

Spectral collocation method for the numerical solution of the Fitzhugh-Nagumo equationM. Alineia . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1215

An improved formulation for the dual reciprocity boundary element methodKamal Shanazari and Sharareh Amiri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1218

A hybrid iterative method for large non-Hermitian linear systemsSusan Asadollahi and Reza Khoshsiar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1221

Operational matrix approach for solving nonlinear stochastic differential equations

19


M. Asgari and F. Hosseini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1225

On computing root of matricesMehdi Ashkar Tizabi and Adel Mohammadpour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1229

Some results of positive solutions for fractional differential equations with p-LaplacianNemat Nyamoradi and Tahereh Bashiri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1232

Solving inverse heat conduction problem by using genetic algorithmR. Pourgholi, H. Dana, T. Houlari and S. H. Tabasi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1235

Estimation of unknown boundary functions in an IHCP with mollification methodM. Garshasbi and H. Dastour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1239

Stability for a competitive Lotka-Volterra system with delays based on LMI optimization approachF. M. Maalek Ghaini and S. Dehghan Banadaki . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1243

Capturing outlines of persian fonts with Bezier cubic approximationGhasem Barid Loghmani and Alireza Ebrahimi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1246

An analytical solution for fractional reaction-diffusion equationMahin Ebrahimi and Jalal Izadian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1250

Preconditioned Jacobi iterative method for Z-matrix linear systemsM. Fallahi and A. Tajaddini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1253

Solutions of twelfth-order boundary value problems using polynomial spline off step pointsKarim Farajeyan Bonab and Nader Rafati Maleki . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1257

Existence, multiplicity and nonexistence results of positive solutions for m-point nonlinear frac-tional differential equation on half axisKazem Ghanbari and Yousef Gholami . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1260

Trace formula for second order differential equation with one turning point from older of oneH. Hasanpour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1264

A Duhamel integral approach to solve an inverse problem for the wave equationMaryam Jalali and Akram Saeedi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1268

Neural network for solving PDE problemsFarhad Janbaz Amirani, Hashem Tabasi and Morteza Garshasbi . . . . . . . . . . . . . . . . . . . . . . . . . . . 1272

Five points non-equispace finite difference method for solving fourth order ODENeda Karamooz and Jalal Izadian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1278

Restarting Arnoldi schemes for solving large eigenvalue problemsN. Karimi Shahraki and R. Khoshsiar Ghaziani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1281

Solving high-order nonlinear Volterra integro-differential equations by using block-pulse functionsN. Aghazadeh and A. A. Khajehnasiri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1284

Ground state solutions for a semilinear elliptic equation involving concave-convex nonlinearitiesO. Khazaee Kohpar and S. Khademloo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1288

The solving of parabolic distributed optimal control problems with quartic B-spline collocationmethodFarzaneh Kheyrinataj and Alireza Nazemi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1291

20


Existence theorem for the distributed order fractional hybrid differential equationsH. Nowroozi and A. Ansari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1295

Comparing results of fractional Sturm-Liouville problems using homotopy analysis method andAdomian decomposition methodRoya Rezvani, Farhad Dastmalchi and Fahimeh Behnamian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1298

Comparison numerical solutions of differential algebraic equations by differential quadrature andpade seriesM. Ramezani, Z. Roohinia and M. Amirkhani Monfared . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1302

Optimal partitions for first eigenvalues of Laplace operatorF. Bozorgnia and M. Shadkam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1306

A note on fuzzy isoperimetric problemMarzieh Shamsizadeh and Omid Solaymani Fard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1310

Application of two different methods for finding exact solutions of nonlinear PDENazila Yousefzadehfard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1314

A generalized boundary element method for problems with infinite domainsKamal Shanazari and Galavizh Zahed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1318

Right-looking version of robust incomplete factorization preconditioner with pivotingAzam Zare and Amin Rafiei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1322

Dynamical Systems

Dynamical behaviour of a Lotka-Volterra systemH. Alamdar, E. Najafi Sadati and R. Khoshsiar Ghaziani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1329

A simple proof of the singularity-induced bifurcation theoremJ. Fadaie Ghotbi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1333

Existence of positive solutions for a system of fractional boundary value problemsTahereh Haghi, Nemat Nyamoradi and Kazem Ghanbari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1338

The application of Lyapunov exponents in dynamical economic modelEsmaeel Reza Ali, Najmeh Kashefi and Mohamad Ebrahimi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1342

Lyapunov direct method for distributed order fractional nonlinear dynamical systemsA. Rezaei, A. Ansari and R. Khoshsiar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1346

Operations Research

On the existence of multiple positive solutions for a class of multi-singular nonlinear elliptic equa-tionsS. Khademloo and M. Farzinejad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1352

A collocation method for approximate boundary optimal control of the heat equations via HaarwaveletsAkbar Hashemi Borzabadi and Esmaeil Rezaei Velashedi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1355

21


The system optimization perspective for multiproduct supply chain networkMina Saee Bostanabad, Javad Mehri-Tekmeh, and Mirkamal Mirnia . . . . . . . . . . . . . . . . . . . . . . .1359

Biological computation of the solution to the assignment problemHassan Mishmast Nehi and Mehrnaz Sarani . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1362

Combinatorics

The independence polynomial of a graphMorteza Bayat and Zahra Khatami. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1369

Total domination in cartesian product Pm�CnNasrin Malekzadeh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1372

Probability and Statistics

Randomly weighted average with beta random proportionH. Homei, R. Salimpoor and M. Hamel Darbandi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1376

Mathematics in Science and Technology

Heart pacemakers synchronization by using Hopf bifurcationZ. Dadi and Z. Afsharnezhad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1386

Synchronization of commensurate fractional-order chaotic systems via sliding mode controllersMahmoud Fayaz Bakhsh, Vahid Johari Majd and Saeed Rezaei . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1389

Study two-layered blood flow In straight arteryAhmad Reza Haghighi and Nasim Asghari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1399

On fuzzy subgroups in fuzzy algebra and group theoryMoosa Jabbari . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1402

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Proceedings of 43IMC-English Part

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