Caspian Journal of Mathematical Sciences (CJMS)Caspian Journal of Mathematical Sciences (CJMS)
http://cjms.journals.umz.ac.ir/
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http://cjms.journals.umz.ac.ir/
Feed provided by Caspian Journal of Mathematical Sciences (CJMS). Click to visit.A method to consider Non-Discretionary factors in Data Envelopment Analysis
http://cjms.journals.umz.ac.ir/article_1897_335.html
The technique for efficiency measurement known as Data Envelopment Analysis (DEA) has been extended to allow on-discretionary inputs that affect production. Several methods exist for measuring efficiency to control these factors in production. This paper review these approaches, providing a discussion of strengths and weaknesses and highlighting potential limitations. In addition, a new approach is developed that overcomes existing weaknesses and it is based on relative importance. To facilitate comparison, a numerical example is used. The results show that the new approach improve existing models and performs relatively well.Fri, 31 Aug 2018 19:30:00 +0100Multi-step conformable fractional differential transform method for solving and stability of ...
http://cjms.journals.umz.ac.ir/article_1649_335.html
In this article‎, ‎the multi-step conformable fractional differential transform method (MSCDTM) is applied to give approximate solutions of the conformable fractional-order differential systems‎. ‎Moreover‎, ‎we check the stability of conformable fractional-order L"{u} system with the MSCDTM to demonstrate the efficiency and effectiveness of the proposed procedure.Fri, 31 Aug 2018 19:30:00 +0100Differential Transform Method to two-dimensional non-linear wave equation
http://cjms.journals.umz.ac.ir/article_1633_335.html
In this paper, an analytic solution is presented using differential transform method (DTM) for a class of wave equation. The emphasis is on the nonlinear two-dimensional wave equation. The procedures introduced in this paper are in recursive forms which can be used to obtain the closed form of the solutions, if they are required. The method is tested on various examples, and the results reveal the effectiveness and simplicity of the method.Fri, 31 Aug 2018 19:30:00 +0100A Heuristic Optimization Algorithm Based on Expansion of Fashion in Human Society
http://cjms.journals.umz.ac.ir/article_1698_0.html
In this article, inspired by a mathematical modeling of fashionability, we propose an optimization algorithm. Our proposed algorithm works as follows. It starts from a set of individuals in an initial state. These individuals are supposed to be possible answers to a given optimization problem (similar to chromosome in genetic algorithm, and particles in Particle Swarm Optimization). The Individuals are divided into two categories: 1. Stars 2. Followers. Stars attract the followers toward themselves through diffusion of innovation and fashion. The emergence of new fashion from the old fashion forms the fundamental core of this algorithm and makes the followers move toward the optimum points of the given problem. In this article, fashionability is viewed as an indispensable part of cultural evolutionary process of human and the quality of its impact on different individuals is being used in the field of evolutionary computation. This article is intended to describe how to model fashionability, and how to implement an optimization algorithm based on the modeling.Fri, 30 Sep 2016 20:30:00 +0100Eigenfunction expansion in the singular case for q-Sturm-Liouville operators
http://cjms.journals.umz.ac.ir/article_1832_0.html
In this work, we prove the existence of a spectral function for singular q-Sturm-Liouville operator. Further, we establish a Parseval equality and expansion formula in eigenfunctions by terms of the spectral function.Sat, 23 Jun 2018 19:30:00 +0100Intuitionistic fuzzy G-modules relative with a t-norm
http://cjms.journals.umz.ac.ir/article_1878_0.html
Fuzzy G-modules of fuzzy modules with respect to a t-norm were studied by some authors. Here we introduce the concept of intuitionis- tic fuzzy G-modules with respect to a t-norm and study some properties of them. Based of Atanassov's intuitionistic fuzzy submodule, the rela- tionship between them and t-norms and also t-conorms will be investi- gated in this paper. we will study nature of this kind of intuitionistic fuzzy submodules under algeraic operations.Sat, 28 Jul 2018 19:30:00 +0100Fuzzy lters in ordered semirings
http://cjms.journals.umz.ac.ir/article_1881_0.html
We introduce the notion of ideal, prime ideal, lter, fuzzy ideal, fuzzy prime ideal, fuzzy lter of ordered semiring and study their properties and relations between them. We characterize the prime ideals and lters of ordered semiring with respect to fuzzy ideals and fuzzy l- ters respectively.Sun, 05 Aug 2018 19:30:00 +0100Numerical study of the radial Schrodinger Equation for Hydrogen atom using Legendre wavelet
http://cjms.journals.umz.ac.ir/article_1882_0.html
This paper deals with the Legendre wavelet (LW) collocation method for the numerical solution of the radial Schrodinger equation for hydrogen atom. Energy eigenvalues for the hydrogen bound system is derived -13.6 eV. Numerical results of the ground state modes of wave function for the hydrogen R(r) or the electron probability density function, has been presented. The numerical results have been compared to the other existing method and exact solution.Sun, 05 Aug 2018 19:30:00 +0100Existence of solution for semilinear elliptic equations via sub-super solutions method
http://cjms.journals.umz.ac.ir/article_1890_0.html
In this paper, we considered a class of semilinear el-liptic equations and extended some results about the method of sub-supper solutions to obtain new results for the generalized semi- linear elliptic equations via Schauder's fixed point Theorem.Sat, 11 Aug 2018 19:30:00 +0100Orthogonality of Homogeneous geodesics on the tangent bundle
http://cjms.journals.umz.ac.ir/article_1891_0.html
Let $xi=(Gtimes_{K} mathcal{G} / mathcal{K}, rho_{xi}, emph{G} / emph{K},mathcal{G} / mathcal{K})$ be the associated bundle and $tau_{G/K}=(T_{G/K},pi_{G/K},G/K, textrm{R}^{m})$ be the tangent bundle of special examples of odd dimension solvable Lie groups equipped with left invariant Riemannian metric. In this paper we prove some conditions about the existence of homogeneous geodesic on the base space of $tau_{G/K}$ and homogeneous (geodesic) vectors on the fiber space of $xi$ .Sat, 11 Aug 2018 19:30:00 +0100Centers, Commutators and Abelianization of Crossed Squares
http://cjms.journals.umz.ac.ir/article_1892_0.html
In this work we introduce the center of a cat2-group and some related structures in the sense of [7, 8]. Furthermore, by using the equivalence between crossed squares and cat2-groups, we also introduce the center of a crossed square.Sat, 11 Aug 2018 19:30:00 +0100Multi-step conformable fractional differential transform method for solving and stability of ...
http://cjms.journals.umz.ac.ir/article_1893_0.html
‎In this article‎, ‎the multi-step conformable fractional differential transform method (MSCDTM) is applied to give approximate solutions of the conformable fractional-order differential systems‎. ‎Moreover‎, ‎we check the stability of conformable fractional-order L"{u} system with the MSCDTM to demonstrate the efficiency and effectiveness of the proposed procedure.Sat, 11 Aug 2018 19:30:00 +0100An approach for designing a developable surface through a sweeping surface
http://cjms.journals.umz.ac.ir/article_1894_0.html
This paper studies the problem to construct a developable surface through a sweeping surface, using a special orthonormal frame of the spine curve, namely the (so--called) rotation minimizing frame (RMF for short). As a result, the necessary and sufficient condition for the sweeping surface to be a developable ruled surface is derived. In particular, we mainly focus on the study for the resulting developable surface to be cylinder, cone or tangent surface. Finally, we give some representative examples.Sat, 11 Aug 2018 19:30:00 +0100Heat and mass transfer analysis on MHD peristaltic motion of solid particles in a dusty fluid
http://cjms.journals.umz.ac.ir/article_1895_0.html
In this article, effects of heat and mass transfer on MHD peristaltic motion of solid particles in a dusty fluid has been investigated. The effects of nonlinear thermal radiation and Hall Effect are also taken into account. The relevant flow analysis is modelled for fluid phase and dust phase in wave frame. Computation of solutions is presented for velocity profile, temperature profile and concentration profile. The impact of all the physical parameters such as particle volume fraction, Hartmann number, Hall Effect, Prandtl number, Eckert number, Schmidt number and Soret number are discussed mathematically and graphically. It is noted that the influence of magnetic field and particle volume fraction opposes the flow. Also, the impact of particle volume fraction is quite opposite on temperature and concentration profile.Sat, 11 Aug 2018 19:30:00 +0100SOME GRAPH PARAMETERS ON THE COMPOSITE ORDER CAYLEY GRAPH
http://cjms.journals.umz.ac.ir/article_1896_0.html
In this paper, the composite order Cayley graph Cay(G, S) is introduced, where G is a group and S is the set of all composite order elements of G. Some graph parameters such as diameter, girth, clique number, independence number, vertex chromatic number and domination number are calculated for the composite order Cayley graph of some certain groups. Moreover, the planarity of composite order Cayley graph is discussed.Sat, 11 Aug 2018 19:30:00 +0100Curves and helix hypersurfaces in Euclidean spaces
http://cjms.journals.umz.ac.ir/article_1898_0.html
In this paper, we investigate the special curves and the ruled surfaces on the helix hypersurface whose tangent space makes constant angle with a fixed direction in Euclidean -space and give requirement of being developable of the ruled surfaces. Also, we construct the helix surface generated by a plane curve in Euclidean 3-space and give requirement of being a minimal surface of the surface.Sat, 11 Aug 2018 19:30:00 +0100Endpoints of generalized $phi$-contractive multivalued mappings of integral type
http://cjms.journals.umz.ac.ir/article_1899_0.html
Recently‎, some researchers have established some results on existence of endpoints for multivalued mappings. In particular, Mohammadi and Rezapour's [Endpoints of Suzuki type quasi-contractive multifunctions, U.P.B. Sci. Bull., Series A, 2015] used the technique of $alpha$-$psi$-contractive mappings, due to Samet et al. (2012), to give some results about endpoints of Suzuki type quasi-contractive multifunctions satisfing property (BS). In this paper, we prove existence and uniqueness of endpoint for multivalued mappings satisfing the weaker conditions generalized $phi$-contractivity of integral type and property (HS). This result generalize and improve Mohammadi and Rezapour's result. Also, we give an example to illustrate the usability of the result.Sat, 11 Aug 2018 19:30:00 +0100ADAMS COMPLETION AND EXTERIOR ALGEBRA
http://cjms.journals.umz.ac.ir/article_1900_0.html
Deleanu, Frei and Hilton have developed the notion of generalized Adams completion in a categorical context. In this note, it is shown that given an algebra, its exterior algebra is isomorphic to the Adams completion of the algebra with respect to a chosen set of morphisms in a suitable category.Sat, 11 Aug 2018 19:30:00 +0100RBF-Chebychev direct method for solving variational problems
http://cjms.journals.umz.ac.ir/article_1901_0.html
This paper establishes a direct method for solving variational problems via a set of Radial basis functions (RBFs) with Gauss-Chebyshev collocation centers. The method consist of reducing a variational problem into a mathematical programming problem. The authors use some optimization techniques to solve the reduced problem. Accuracy and stability of the multiquadric, Gaussian and inverse multiquadric RBF is examined and compared by some numerical experiments.\Sat, 11 Aug 2018 19:30:00 +0100The Generalized difference of $d \left(\chi^{3\textit{I}}\right)$ of fuzzy real numbers over ...
http://cjms.journals.umz.ac.ir/article_1902_0.html
In this article we introduce the sequence spaces $left[chi^{3q}_{fmu },left|left(dleft(x_{1}right),dleft(x_{2}right),cdots, dleft(x_{n-1}right)right)right|_{p}right]^{textit{I}left(Fright)}$ and $left[Lambda^{3q}_{fmu },left|left(dleft(x_{1}right),dleft(x_{2}right),cdots, dleft(x_{n-1}right)right)right|_{p}right]^{textit{I}left(Fright)},$ associated with the differential operator of sequence space defined by Musielak. We study some basic topological and algebraic properties of these spaces. We also investigate some inclusion relations related to these spaces.Sun, 12 Aug 2018 19:30:00 +0100Evolution of Space Curves Using Type-3 Bishop Frame
http://cjms.journals.umz.ac.ir/article_1903_0.html
In this paper, Firstly, we introduce a new version of Bishop frame using a common vector field as normal vector field of a regular curve and call this frame as type-3 Bishop frame. Geometric visualization for both Frenet frame and type-3 Bishop frame are plotted. Secondly, time evolution equation for type-3 Bishop frame and type three bishop curvatures are obtained and we plotted the evolving curve via the numerical integration of type-3 Bishop Serret Frenet equations. Finally, surfaces generated by evolving a regular space curve in $mathbb{R}^3$ as it evolves over time with arbitrary velocities attached to type-3 Bishop frame are obtained. We plotted these surfaces via numerical integration of Gauss-Weingarten equations.Sun, 12 Aug 2018 19:30:00 +0100CONSTRUCTION OF TOEPLITZ MATRICES WHOSE ELEMENTS ARE THE COEFFICIENTS OF UNIVALENT FUNCTIONS ...
http://cjms.journals.umz.ac.ir/article_1904_0.html
In this paper, we nd the coefficient bounds by using symmetric Toeplitz determinants for the functions belonging to the subclass R(q).Sun, 19 Aug 2018 19:30:00 +0100