University of MaraghehSahand Communications in Mathematical Analysis2322-580702120150601Some relationship between G-frames and frames1711699ENMehdiRashidi-KouchiDepartment of Mathematics, Islamic Azad University, Kahnooj Branch,
Kahnooj, Iran.AkbarNazariDepartment of Mathematics, Shahid Bahonar University, Kerman, Iran.Journal Article20140608In this paper we proved that every g-Riesz basis for Hilbert space $H$ with respect to $K$ by adding a condition is a Riesz basis for Hilbert $B(K)$-module $B(H,K)$. This is an extension of [A. Askarizadeh, M. A. Dehghan, {\em G-frames as special frames}, Turk. J. Math., 35, (2011) 1-11]. Also, we derived similar results for g-orthonormal and orthogonal bases. Some relationships between dual frame, dual g-frame and exact frame and exact g-frame are presented too.https://scma.maragheh.ac.ir/article_11699_ca0b66c4ecad6b41c794d5d431bf3ae4.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580702120150601Comparison of acceleration techniques of analytical methods for solving differential equations of integer and fractional order91712551ENH. R.MarasiDepartment of Mathematics, University of Bonab, Bonab, Iran.M.DaneshbastamDepartment of Mathematics, University of Bonab, Bonab, Iran.Journal Article20141026The work addressed in this paper is a comparative study between convergence of the acceleration techniques, diagonal pad\'{e} approximants and shanks transforms, on Homotopy analysis method and Adomian decomposition method for solving differential equations of integer and fractional orders.https://scma.maragheh.ac.ir/article_12551_8cf65492824ba48dbdbe15b865ff9e55.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580702120150601Superstability of $m$-additive maps on complete non--Archimedean spaces192512841ENIsmailNikoufarDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran.0000-0002-7989-1613Journal Article20150401The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers. In this paper, we exhibit the superstability of $m$-additive maps on complete non--Archimedean spaces via a fixed point method raised by Diaz and Margolis.https://scma.maragheh.ac.ir/article_12841_21859c865b8aa0796f00b73363ba862a.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580702120150601Analytical solutions for the fractional Fisher's equation274911562ENH.KheiriFaculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.A.MojaverFaculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.S.ShahiFaculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.Journal Article20141105In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified Homotopy perturbation method, it is possible to get an exact solution.https://scma.maragheh.ac.ir/article_11562_5eaf48316c9984fbcf48d22c32127de1.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580702120150601Weighted composition operators between growth spaces on circular and strictly convex domain515612376ENShayestehRezaeiDepartment of Pure Mathematics, Aligudarz Branch, Islamic Azad
University, Aligudarz, Iran.0000-0002-4522-971XJournal Article20141102Let $\Omega_X$ be a bounded, circular and strictly convex domain of a Banach space $X$ and $\mathcal{H}(\Omega_X)$ denote the space of all holomorphic functions defined on $\Omega_X$. The growth space $\mathcal{A}^\omega(\Omega_X)$ is the space of all $f\in\mathcal{H}(\Omega_X)$ for which $$|f(x)|\leqslant C \omega(r_{\Omega_X}(x)),\quad x\in \Omega_X,$$ for some constant $C>0$, whenever $r_{\Omega_X}$ is the Minkowski functional on $\Omega_X$ and $\omega :[0,1)\rightarrow(0,\infty)$ is a nondecreasing, continuous and unbounded function. Boundedness and compactness of weighted composition operators between growth spaces on circular and strictly convex domains were investigated.https://scma.maragheh.ac.ir/article_12376_c69c8af693fb13fb851b69d01a5f63cd.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580702120150601Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations576912353ENParvizDaraniaDepartment of Mathematics, Faculty of Science, Urmia University, P.O.Box 165, Urmia-IranJafarAhmadi ShaliDepartment of Mathematics and Computer Science, University of Tabriz, Tabriz-IranJournal Article20141123In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.https://scma.maragheh.ac.ir/article_12353_35fac8b4fc64368273a268e5b499aac7.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580702120150601Composition operators acting on weighted Hilbert spaces of analytic functions717912356ENMostafaHassanlouShahid Bakeri High Education Center of Miandoab, Urmia University,
Urmia, Iran.Journal Article20140916In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.https://scma.maragheh.ac.ir/article_12356_e453111f3d3e0c47afab4c470745ab38.pdf