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.RBF-Chebychev direct method for solving variational problems
http://cjms.journals.umz.ac.ir/article_1901_418.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.Thu, 28 Feb 2019 20:30:00 +0100Some graph parameters on the composite order Cayley graph
http://cjms.journals.umz.ac.ir/article_1896_418.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.Thu, 28 Feb 2019 20:30:00 +0100Fuzzy filters in ordered $\Gamma$-semirings
http://cjms.journals.umz.ac.ir/article_1881_418.html
We introduce the notion of ideal, prime ideal, lter, fuzzy ideal, fuzzy prime ideal, fuzzy lter of ordered $Gamma$-semiring and study their properties and relations between them. We characterize the prime ideals and lters of ordered $Gamma$-semiring with respect to fuzzy ideals and fuzzy l- ters respectively.Thu, 28 Feb 2019 20:30:00 +0100Numerical study of the radial Schrodinger Equation for Hydrogen atom using Legendre wavelet
http://cjms.journals.umz.ac.ir/article_1882_418.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.Thu, 28 Feb 2019 20:30:00 +0100Existence of multiple solutions to a two-point boundary value system via variational method
http://cjms.journals.umz.ac.ir/article_2030_418.html
In this paper, we prove the existence of an open interval $mathrm{]}{lambda }^{mathrm{'}},{lambda }^{mathrm{''}}mathrm{[}$ for each $lambda $ of which a class of two-point boundary value equations depending on $lambda $ admits at least three solutions. Our main tool is a three critical points theorem of Averna and Bonanno.Thu, 28 Feb 2019 20:30:00 +0100Construction of Toeplitz matrices whose elements are the coefficients of univalent functions ...
http://cjms.journals.umz.ac.ir/article_1904_418.html
In this paper, we nd the coefficient bounds by using symmetric Toeplitz determinants for the functions belonging to the subclass R(q).Thu, 28 Feb 2019 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 +0100Evolution of Space Curves Using Type-3 Bishop Frame
http://cjms.journals.umz.ac.ir/article_1903_418.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.Thu, 28 Feb 2019 20:30:00 +0100More connectedness in topological spaces
http://cjms.journals.umz.ac.ir/article_2006_418.html
In this paper, we introduce the concept of S_{beta}-connectedness which lies between semi-connectedness and connectedness. We also characterize this type of connectedness and discuss its relationships with the various types of connectedness from the literature. We further consider the components of this type of connectedness and its properties.Thu, 28 Feb 2019 20:30:00 +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 +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 +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 +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 +0100Adomian Polynomial and Elzaki Transform Method of Solving Fifth Order Korteweg-De Vries Equation
http://cjms.journals.umz.ac.ir/article_2007_0.html
Elzaki transform and Adomian polynomial is used to obtain the exact solutions of nonlinear fifth order Korteweg-de Vries (KdV) equations. In order to investigate the effectiveness of the method, three fifth order KdV equations were considered. Adomian polynomial is introduced as an essential tool to linearize all the nonlinear terms in any given equation because Elzaki transform cannot handle nonlinear functions on its own. In all the three problems considered, the series solutions obtained converges to the exact solutions. Three dimensional graphs were also plotted to give the shape of the solutions of some KdV equations considered. Hence, Elzaki transform and Adomian polynomial together gives a very powerful and ffective method for solving nonlinear partial differential equations.Mon, 19 Nov 2018 20:30:00 +0100SOME POINTS ON GENERALIZED OPEN SETS
http://cjms.journals.umz.ac.ir/article_2009_0.html
The paper is an attempt to represent a study of limit points, boundary points, exterior points, border, interior points and closure points in the common generalized topological space. This paper takes a look at the possibilities of an extended topological space and it also considers the new characterizations of dense set.Sun, 25 Nov 2018 20:30:00 +0100On category of co-coverings
http://cjms.journals.umz.ac.ir/article_2055_0.html
In this article, we introduce the concept of co-covering which is the dual of covering concept. Then, we prove several theorems being similar to the theorems that have been de-veloped for the covering concept. For example, we provide the lifting criterion for co-coverings of a topological space X, which helps us to classify them by subgroups of the group of all homeomorphisms of X.Sat, 12 Jan 2019 20:30:00 +0100Recovering Sturm-Liouville operators with a discontinuous weight function
http://cjms.journals.umz.ac.ir/article_2151_0.html
In this study, we investigate the inverse problem for Sturm-Liouville differential operators on a finite interval having a discontinuous weight function. We give properties of the spectral characteristics and prove the uniqueness theorem for the inverse problem of recovering operators.Tue, 16 Apr 2019 19:30:00 +0100Fundamental commutative (m, n)-rings obtained from (m, n)-hyperrings
http://cjms.journals.umz.ac.ir/article_2156_0.html
We introduce the fundamental relation, $alpha^{*}$, on an $(m, n)$-hyperring $R$ and indicate that this relation is the smallest strongly regular equivalence relation on $R$ such that $R/alpha^{*}$ is an commutative $(m, n)$-ring. We use $alpha^{*}$-relation to construct the fundamental functor from category of $(m, n)$-hyperrings to the category of commutative $(m, n)$-rings. Finally, some necessary and sufficient conditions for transitivity of $alpha$ are given.Sat, 04 May 2019 19:30:00 +0100The Generalization of Helices
http://cjms.journals.umz.ac.ir/article_2215_0.html
We defined new special curves in Euclidean 3-space which refer to clad helices and found the geometric invariants of clad helices [17]. These notions are generalizations of the notion of cylindrical helices and slant helices. Using the geometric invariants of clad helices in this article, we proposed approaches to construct examples of clad helices in E3 and on S2. Moreover, we obtained the classication of special developable surfaces under the condition of the existence of clad helices as a geodesic and existence of slant helices as a line of curvature.Mon, 17 Jun 2019 19:30:00 +0100