University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 A Meshless Method for Numerical Solution of Fractional Differential Equations 1 8 EN A. golbabai Department of Applied Mathematics, Iran University Science and Technology,P.O.Box,16844-13114,Narmak,Tehran,Iran. golbabai@iust.ac.ir O. Nikan Department of Applied Mathematics, Iran University Science and Technology,P.O.Box,16844-13114,Narmak,Tehran,Iran omidnikan77@yahoo.com In this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. We approximate the exact solution by use of Radial Basis Function(RBF) collocation method. This techniqueplays an important role to reduce a fractional dierential equation to a system of equations. The numerical results demonstrate the accuracy and ability of this method. Riemann-Liouville fractional integral,Caputo fractional derivative,Radial basis functions http://cjms.journals.umz.ac.ir/article_678.html http://cjms.journals.umz.ac.ir/article_678_9d9ae5fe141c89fa9265cd72ec09d979.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 07 01 Use of the Sturm-Liouville problems in the seismic response of earth dams and embankments 9 15 EN A. A. Neamaty University of Mazandaran neamaty@yahoo.com Y. Khalili University of Mazandaran y.khalili@stu.umz.ac.ir In this paper, we obtain a suitable mathematical model for the seismic response of dams. By using the shear beam model (SB model), we give a mathematical formulation that it is a partial differential equation and transform it to the Sturm-Liouville equation. Differential pencil,Sturm-Liouville equation,Turning point,Singularity,Embankments http://cjms.journals.umz.ac.ir/article_857.html http://cjms.journals.umz.ac.ir/article_857_701acbbc2eca995aa4bf64040ea0cb5b.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 On a p(x)-Kirchho equation via variational methods 17 29 EN M. Mirzapour Ph. D student mirzapour@stu.umz.ac.ir Gh. Alizadeh Afrouzi Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran afrouzi@umz.ac.ir This paper is concerned with the existence of two non-trivial weak solutions for a p(x)-Kirchho type problem by using the mountain pass theorem of Ambrosetti and Rabinowitz and Ekeland's variational principle and the theory of the variable exponent Sobolev spaces. Generalized Lebesgue-Sobolev spaces,Nonlocal condition,Mountain pass theorem,Ekeland's variational principle http://cjms.journals.umz.ac.ir/article_825.html http://cjms.journals.umz.ac.ir/article_825_5c1c325cca91747cfd021b5671cd00b1.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 10 01 Solitons And Periodic Solutions To The Generalized Zakharov-Kuznetsov Benjamin-Bona-Mahoney Equation 31 42 EN M. Eslami Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran This paper studies the generalized version of theZakharov-Kuznetsov Benjamin-Bona-Mahoney equation. The functionalvariable method as well as the simplest equation method areapplied to obtain solitons and singular periodic solutions to theequation. There are several constraint conditions that arenaturally revealed in order for these specialized type ofsolutions to exist. The results of this paper generalizes theprevious results that are reported in earlier publications. Solitons,periodic solutions,integrability http://cjms.journals.umz.ac.ir/article_1172.html http://cjms.journals.umz.ac.ir/article_1172_0620f5f5bcc8ab0a94f90ab454446a61.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 On the Szeged and Eccentric connectivity indices of non-commutative graph of finite groups 43 49 EN A. Azad Arak University a-azad@araku.ac.ir N. ELahinezhad Arak University Let \$G\$ be a non-abelian group. The non-commuting graph \$Gamma_G\$ of \$G\$ is defined as the graph whose vertex set is the non-central elements of \$G\$ and two vertices are joined if and only if they do not commute.In this paper we study some properties of \$Gamma_G\$ and introduce \$n\$-regular \$AC\$-groups. Also we then obtain a formula for Szeged index of \$Gamma_G\$ in terms of \$n\$, \$|Z(G)|\$ and \$|G|\$. Moreover, we determine eccentric connectivity index of \$Gamma_G\$ for every non-abelian finite group \$G\$ in terms of the number of conjugacy classes \$k(G)\$ and the size of the group \$G\$. non-commuting graph,eccentric connectivity index,Szeged index http://cjms.journals.umz.ac.ir/article_683.html http://cjms.journals.umz.ac.ir/article_683_af1ee2649810c800a26054f539aa9cf9.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 The Efficiency of Harvested Factor; Lotka-Volterra Predator-Prey Model 51 59 EN M.H. Rahmani Doust Department of Mathematics, University of Neyshabur, Neyshabur, Iran. mh.rahmanidoust@neyshabur.ac.ir    Scientists are interested in find out “how to use living resources without damaging the ecosystem at the same time?” from nineteen century because the living resources are limited. Thus, the harvested rate is used as the control parameters. Moreover, the study of harvested population dynamics is more realistic.    In the present paper, some predator-prey models in which two ecologically interacting species are harvested independently with constant or variable rates have been considered. Also, the behavior of their solutions in the global and local stability aspect have been investigated. The main aim is to present a mathematical analysis for the above model. Equilibrium Point,Lotka-Volterra model,Predator-Prey System,Stability http://cjms.journals.umz.ac.ir/article_1044.html http://cjms.journals.umz.ac.ir/article_1044_00d3ed4971909d372be07a3b19b78b9c.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations 61 75 EN Gh. Karamali Shahid Sattari Aeronautical University of Science and Technology g_karamali@iust.ac.ir M. Koozehgar Kalleji Shahid Sattari Aeronautical University of Science and Technology m-koozehgarkalleji@araku.ac.ir Schrödinger–Maxwell system,Cerami condition,Variational methods,Strongly indefinite functionals http://cjms.journals.umz.ac.ir/article_1079.html http://cjms.journals.umz.ac.ir/article_1079_7a7c0951d4c86ea0a4758be49c57892d.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 Solution of the fractional Zakharov-Kuznetsov equations by reduced di erential transform method 77 85 EN A. Taghavi Academic member of Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran taghavi@umz.ac.ir A. Babaei Mazandaran University babaei@umz.ac.ir A. Mohammadpour Department of Mathematics, University of Mazandaran a.mohammadpour@stu.umz.ac.ir In this paper an approximate analytical solution of the fractional Zakharov-Kuznetsov equations will be obtained with the help of the reduced differential transform method (RDTM). It is in-dicated that the solutions obtained by the RDTM are reliable and present an effective method for strongly nonlinear fractional partial differential equations. Fractional Zakharov-Kuznetsov equation,Fractional calculus,Reduced di erential transform method http://cjms.journals.umz.ac.ir/article_685.html http://cjms.journals.umz.ac.ir/article_685_ca2b2bff82c71fc382b252f2ec0a8b90.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 An Analysis on The Lotka-Volterra Food Chain Model: Stability 87 94 EN M.H. Rahmani Doust Department of Mathematics, University of Neyshabur, Neyshabur, Iran. mh.rahmanidoust@neyshabur.ac.ir The food chain refers to a natural system by which energy is transmitted from one organism to another. In fact, a food chain consists of producers, consumers and decomposition. Presence of complex food web increase the stability of the ecosystem. Classical food chain theory arises from Lotka-Volterra model. In the present paper, the dynamics behavior of three level food chain is studied. A system of 3 nonlinear ODEs for interaction modeling of three-species food chain where intraspcies competition exists indeed is studied. The first population is the prey for the second which is prey for the third one. It is clear that it is the top of food pyramid. The techniques of linearization and first integral are employed. Lotka-Volterra model,food chain,Competition,Linearization,Predator-Prey http://cjms.journals.umz.ac.ir/article_783.html http://cjms.journals.umz.ac.ir/article_783_be3b8b410dd349153c1bbdac502f675f.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2016 06 30 Parallel computing using MPI and OpenMP on self-configured platform, UMZHPC. 95 105 EN A. Valinejad Department of Computer Science, Mazandaran University, Babolsar, Iran valinejad@umz.ac.ir V. Sabet Akbarzadeh Department of Computer Science, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran v.sabet@stu.umz.ac.ir Parallel computing is a topic of interest for a broad scientific community since it facilitates many time-consuming algorithms in different application domains.In this paper, we introduce a novel platform for parallel computing by using MPI and OpenMP programming languages based on set of networked PCs. UMZHPC is a free Linux-based parallel computing infrastructure that has been developed to create rapid high-performance computing clusters. It can convert heterogeneous PCs which interconnected by using a private Local Area Network(LAN) into a high-performance computing cluster. In this operating system, you can monitor your cluster and build it utilizing low-cost hardware. In addition, programs can be run in parallel by simply booting the portable UMZHPC from fronted node by using only a CD or USB-flash drive. All the requisite configurations to build a cluster and to run your programs will be carried out automatically via UMZHPC. We made the operating system publicly for research purposes. Parallel computing,MPI,OpenMP,HPC http://cjms.journals.umz.ac.ir/article_1183.html http://cjms.journals.umz.ac.ir/article_1183_9606ab747168dbabb66f6da9d1714bfe.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations 107 124 EN Y. liu Department of Mathematics, Guangdong Police College, China liuyuji888@sohu.com X. Yang Guangdong University of Business Studies, China yangxiaohui12345@sohu.com S. Chen Guangdong University of Business Studies, China shengpingchen@sohu.com X. Liu Department of Mathematics,Shaoyang University, China liuxingyuan999@sohu.com  ... multi-order fractional differential equation,Sturm-Liouville boundary value problems,fixed-point theorem http://cjms.journals.umz.ac.ir/article_711.html http://cjms.journals.umz.ac.ir/article_711_58d3d682d089668772ce0615543b0898.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 Some properties of Invertible Elements in Fuzzy Banach algebras 125 129 EN R. Parvinianzadeh Department of Mathematics, Yasouj University, P. O. Box 75918-74831, Yasouj, r.parvinian@yu.ac.ir M. Asadi Department of Mathematics, Yasouj University, P. O. Box 1159-91775, Yasouj, Iran. m_asadi97@yahoo.com In this paper, we introduce fuzzy Banach algebra and study the properties of invertible elements and its relation with opensets. We obtain some interesting results. Fuzzy Banach algebra,invertible elements,open set http://cjms.journals.umz.ac.ir/article_1027.html http://cjms.journals.umz.ac.ir/article_1027_b1463b68d4bc2cc1ebca1a3ae3258f72.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 Numerical integration using spline quasi-interpolants 139 149 EN M. zarebnia Department of Mathematics, University of mohaghegh Ardabili, zarebnia@uma.ac.ir M. Derakhshan Department of Mathematics, University of mohaghegh Ardabili m_derakhshan1367@yahoo.com In this paper, quadratic rules for obtaining approximate solution of definite integrals as well as single and double integrals using spline quasi-interpolants will be illustrated. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method. Spline quasi-interpolants,Gregory rules,Numerical integration,Double integral http://cjms.journals.umz.ac.ir/article_677.html http://cjms.journals.umz.ac.ir/article_677_2376ca2bd3242ecec9636860631b8e08.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 4 1 2015 06 30 Ill-Posed and Linear Inverse Problems 131 138 EN A. Azizi Department of Mathematics, Payame Noor University, PO Box 19395-3697 Tehran, I. R. of Iran. a.azizi@pnu.ac.ir In this paper ill-posed linear inverse problems that arises in many applications is considered. The instability of special kind of these problems and it's relation to the kernel, is described. For finding a stable solution to these problems we need some kind of regularization that is presented. The results have been applied for a singular equation. Integral equations,Inverse problem,Regularization,Tikhonov Regularization Method http://cjms.journals.umz.ac.ir/article_681.html http://cjms.journals.umz.ac.ir/article_681_33ebe438cb9e6a842d1da2f587a14baf.pdf