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.On category of co-coverings
http://cjms.journals.umz.ac.ir/article_2055_418.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.Wed, 31 Jul 2019 19:30:00 +0100Eigenfunction expansion in the singular case for q-Sturm-Liouville operators
http://cjms.journals.umz.ac.ir/article_1832_418.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.Wed, 31 Jul 2019 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_418.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.Wed, 31 Jul 2019 19:30:00 +0100Controlled *-G-Frames and their *-G-Multipliers IN Hilbert C*-Modules
http://cjms.journals.umz.ac.ir/article_2276_418.html
In this paper we introduce controlled *-g-frame and *-g-multipliers in Hilbert C*-modules and investigate the properties. We demonstrate that any controlled *-g-frame is equivalent to a *-g-frame and define multipliers for (C,C')- controlled*-g-frames .Wed, 31 Jul 2019 19:30:00 +0100Endpoints of generalized $\phi$-contractive multivalued mappings of integral type
http://cjms.journals.umz.ac.ir/article_1899_418.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.Wed, 31 Jul 2019 19:30:00 +0100Recovering Sturm-Liouville operators with a discontinuous weight function
http://cjms.journals.umz.ac.ir/article_2151_418.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.Wed, 31 Jul 2019 19:30:00 +0100Adams completion and exterior algebra
http://cjms.journals.umz.ac.ir/article_1900_418.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.Wed, 31 Jul 2019 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 +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 +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 +0100Fundamental commutative (m, n)-rings obtained from (m, n)-hyperrings
http://cjms.journals.umz.ac.ir/article_2156_418.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.Wed, 31 Jul 2019 19:30:00 +0100The Generalization of Helices
http://cjms.journals.umz.ac.ir/article_2215_418.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.Wed, 31 Jul 2019 19:30:00 +0100Category of $H$-groups
http://cjms.journals.umz.ac.ir/article_2253_0.html
‎This paper develops a basic theory of $H$-groups‎. ‎We‎ ‎introduce a special quotient of $H$-groups and‎ ‎extend some algebraic constructions of topological groups to the category‎ ‎of H-groups and H-maps and then present a functor from this category to the category of quasitopological groups‎.Sun, 21 Jul 2019 19:30:00 +0100An approach for designing a developable surface through a sweeping surface
http://cjms.journals.umz.ac.ir/article_2277_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.Sun, 25 Aug 2019 19:30:00 +0100Spherical Indicatrices of Admissible Curves in pseudo-Galilean Space
http://cjms.journals.umz.ac.ir/article_2300_418.html
In this study, position vectors of admissible curve in the natural representation and spherical indicatrices for tangent, normal and binormal vectors of a general helix in the pseudo-Galilean space are researched. Moreover some examples are given.Wed, 31 Jul 2019 19:30:00 +0100Starlike Functions Of order α With Respect To 2(j,k)-Symmetric Conjugate Points
http://cjms.journals.umz.ac.ir/article_2323_0.html
In this paper, we introduced and investigated starlike and convex functions of order α with respect to 2(j,k)-symmetric conjugate points and coefficient inequality for function belonging to these classes are provided . Also we obtain some convolution condition for functions belonging to this class.Sun, 13 Oct 2019 20:30:00 +0100A new idea for exact solving of the complex interval linear systems
http://cjms.journals.umz.ac.ir/article_2324_0.html
In this paper‎, ‎the aim is to find a complex interval vector [Z] such that satisfies the complex interval linear system C[Z]=[W]‎. ‎For this‎, ‎we present a new method by restricting the general solution set via applying some parameters‎. ‎The numerical examples are given to show ability and reliability of the proposed method.Sun, 13 Oct 2019 20:30:00 +0100Weighted composition operators between Lipschitz algebras of complex-valued bounded functions
http://cjms.journals.umz.ac.ir/article_2337_0.html
‎In this paper‎, ‎we study weighted composition operators between Lipschitz algebras of complex-valued bounded functions on metric spaces‎, ‎not necessarily compact‎. ‎We give necessary and sufficient conditions for the injectivity and the surjectivity of these operators‎. ‎We also obtain sufficient and necessary conditions for a weighted composition operator between these spaces to be compact.Wed, 13 Nov 2019 20:30:00 +0100A Novel Successive Approximation Method for Solving a Class of Optimal Control Problems
http://cjms.journals.umz.ac.ir/article_2338_0.html
This paper presents a successive approximation method (SAM) for solving a large class of optimal control problems. The proposed analytical-approximate method, successively solves the Two-Point Boundary Value Problem (TPBVP), obtained from the Pontryagin's Maximum Principle (PMP). The convergence of this method is proved and a control design algorithm with low computational complexity is presented. Through the finite number of algorithm iterations, a suboptimal control law is obtained for the optimal control problem. An illustrative example is given to demonstrate the efficiency of the proposed method.Wed, 13 Nov 2019 20:30:00 +0100SCHWARZ BOUNDARY VALUE PROBLEM ON A TRIANGLE
http://cjms.journals.umz.ac.ir/article_2339_0.html
In this paper, the Schwarz boundary value problem (BVP) for the inhomogeneous Cauchy-Riemann equation in a triangle is investigated explicitly. Firstly, by the technique of parquetingreflection and the Cauchy-Pompeiu representation formula a modified Cauchy-Schwarz representation formula is obtained. Then, the solution of the Schwarz BVP is explicitly solved. In particular, the boundary behaviors at the corner points are considered.Wed, 13 Nov 2019 20:30:00 +0100Application of legendre operational matrix to solution of two dimensional nonlinear volterra ...
http://cjms.journals.umz.ac.ir/article_2363_0.html
In this article, we apply the operational matrix to find the numerical solution of two- dimensional nonlinear Volterra integro-differential equation (2DNVIDE). Form this prospect, two-dimensional shifted Legendre functions (2DSLFs) has been presented for integration, product as well as differentiation. This method converts 2DNVIDE to an algebraic system of equations, so the numerical solution of 2DNVIDE is computable. The effectiveness and accuracy of the method were examined with some examples as well. The results and comparison with other methods have shown a remarkable performance.Sun, 24 Nov 2019 20:30:00 +0100INVERSE SCATTERING PROBLEM FOR THE ·IMPULSIVE SCHRÖDINGER EQUATION WITH A POLYNOMIAL SPECTRAL ...
http://cjms.journals.umz.ac.ir/article_2378_0.html
In the present work, under some di¤erentiability conditions on the potential functions , we rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructing of the potential functions of the equation in that case when there is no a discrete spectrumMon, 02 Dec 2019 20:30:00 +0100Berezin number inequalities involving superquadratic functions
http://cjms.journals.umz.ac.ir/article_2379_0.html
We consider superquadratic functions f and define selfadjoint operators f(A) from some selfadjoint operators A on a reproducing kernel Hilbert space H=H(Q). We estimate the so-called Berezin number of operator f(A).Mon, 02 Dec 2019 20:30:00 +0100