University of MaraghehSahand Communications in Mathematical Analysis2322-580704120161101On exponentiable soft topological spaces11422216ENGhasem MirhosseinkhaniDepartment of Mathematics, Sirjan University of Technology, Sirjan, Iran.Ahmad MohammadhasaniDepartment of Mathematics, Sirjan University of Technology, Sirjan, Iran.Journal Article20150512An object $X$ of a category $mathbf{C}$ with finite limits is called exponentiable if the functor $-times X:mathbf{C}rightarrow mathbf{C}$ has a right adjoint. There are many characterizations of the exponentiable spaces in the category $mathbf{Top}$ of topological spaces. Here, we study the exponentiable objects in the category $mathbf{STop}$ of soft topological spaces which is a generalization of the category $mathbf{Top}$. We investigate the exponentiability problem and give a characterization of exponentiable soft spaces. Also we<br />give the definition of exponential topology on the lattice of soft open sets of a soft space and present some characterizations of it.University of MaraghehSahand Communications in Mathematical Analysis2322-580704120161101A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems152720586ENSomayeh NematiDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.Journal Article20160201In this paper, we consider the second-kind Chebyshev polynomials (SKCPs) for the numerical solution of the fractional optimal control problems (FOCPs). Firstly, an introduction of the fractional calculus and properties of the shifted SKCPs are given and then operational matrix of fractional integration is introduced. Next, these properties are used together with the Legendre-Gauss quadrature formula to reduce the fractional optimal control problem to solving a system of nonlinear algebraic equations that greatly simplifies the problem. Finally, some examples are included to confirm the efficiency and accuracy of the proposed method.University of MaraghehSahand Communications in Mathematical Analysis2322-580704120161101Convergence analysis of the sinc collocation method for integro-differential equations system294220588ENMohammad ZarebniaDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili,m, P.O.Box 56199-11367, Ardabil, Iran.Journal Article20150915In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sinc method is considered. This approximation reduces the system of integro-differential equations to an explicit system of algebraic equations. The exponential convergence rate $O(e^{-k sqrt{N}})$ of the method is proved. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.University of MaraghehSahand Communications in Mathematical Analysis2322-580704120161101Construction of continuous $g$-frames and continuous fusion frames435522217ENMahdiyeh KhayyamiDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.Akbar NazariDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.Journal Article20151224A generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by M. H. Faroughi and R. Ahmadi, is presented in this study. Continuous resolution of the identity (CRI) is introduced, a new family of CRI is constructed, and a number of reconstruction formulas are obtained. Also, new results are given on the duality of continuous fusion frames in Hilbert spaces.University of MaraghehSahand Communications in Mathematical Analysis2322-580704120161101Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method577722018ENSohrab BazmDepartment of Mathematics, Faculty of Science, University of Maragheh,, P.O.Box 55181-83111 Maragheh, Iran.Journal Article20160801Alternative Legendre polynomials (ALPs) are used to approximate the solution of a class of nonlinear Volterra-Hammerstein integral equations. For this purpose, the operational matrices of integration and the product for ALPs are derived. Then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. The error analysis of the method is given and the efficiency and accuracy are illustrated by applying the method to some examples.University of MaraghehSahand Communications in Mathematical Analysis2322-580704120161101On isomorphism of two bases in Morrey-Lebesgue type spaces799022226ENFatima. A. GuliyevaInstitute of Mathematics and Mechanics of NAS of Azerbaijan, Az1141, Baku, Azerbaijan.Rubaba H. AbdullayevaMath teacher at the school No 297, Baku, Azerbaijan.Journal Article20160210Double system of exponents with complex-valued coefficients is considered. Under some conditions on the coefficients, we prove that if this system forms a basis for the Morrey-Lebesgue type space on $left[-pi , pi right]$, then it is isomorphic to the classical system of exponents in this space.University of MaraghehSahand Communications in Mathematical Analysis2322-580704120161101Results of the Chebyshev type inequality for Pseudo-integral9110022517ENBayaz DarabyDepartment of Mathematics, University of Maragheh, Maragheh, Iran.Journal Article20160625In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our results to the case of comonotone functions.University of MaraghehSahand Communications in Mathematical Analysis2322-580704120161101On rarely generalized regular fuzzy continuous functions in fuzzy topological spaces10110822227ENAppachi VadivelDepartment of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.Elangovan ElavarasanResearch scholar, Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.Journal Article20160409In this paper, we introduce the concept of rarely generalized regular fuzzy continuous functions in the sense of A.P. Sostak's and Ramadan is introduced. Some interesting properties and characterizations of them are investigated. Also, some applications to fuzzy compact spaces are established.