Journal of Linear and Topological Algebra ( JLTA )
http://jlta.iauctb.ac.ir/
Journal of Linear and Topological Algebra ( JLTA )endaily1Tue, 01 Dec 2020 00:00:00 +0330Tue, 01 Dec 2020 00:00:00 +0330On new types of contraction mappings in bipolar metric spaces and applications
http://jlta.iauctb.ac.ir/article_678849.html
Our aim is to present some common fixed point theorems in bipolar metric spaces via certain contractive conditions. Some&nbsp; examples have been provided to illustrate the effectiveness of new results. At the end, we give two applications dealing with homotopy theory and integral equations.A Chebyshev functions method for solving linear and nonlinear fractional differential equations based on Hilfer fractional derivative
http://jlta.iauctb.ac.ir/article_678850.html
The theory of derivatives and integrals of fractional in fractional calculus have found enormousapplications in mathematics, physics and engineering so for that reason we need&nbsp;an efficient and accurate computational method for the solution of fractional differential equations.&nbsp;This paper presents a numerical method for solving a class of linear and nonlinear multi-order fractional differential equations with constant coefficients subject to initial conditions based on the fractional order Chebyshev functions that this function is defined as follows:\begin{equation*}\overline{T}_{i+1}^{\alpha}(x)=(4x^{\alpha}-2)\overline{T}_{i}^{\alpha}(x)\overline{T}_{i-1}^{\alpha}(x),\,i=0,1,2,\ldots,\end{equation*}where $\overline{T}_{i+1}^{\alpha}(x)$ can be defined by introducing the change of variable $x^{\alpha},\,\alpha&gt;0$, on the shifted Chebyshev&nbsp;polynomials of the first kind. This new method is an adaptation of collocation&nbsp;method in terms of truncated fractional order Chebyshev Series. To do this method, a new operational matrix of fractional order differential in the Hilfer sense for the fractional order Chebyshev functions is derived. By using this method we reduces such problems to those of&nbsp;solving a system of algebraic equations thus greatly simplifying the problem. At the end of this paper, several numerical experiments are given to demonstrate the efficiency and accuracy of the proposed method.Synchronization of fractional-order LU system with new parameters using the feedback control technique
http://jlta.iauctb.ac.ir/article_679046.html
In this paper, a feedback control method is employed for synchronization between two identical chaotic fractional order LU system (FOLUS) with the new parameters. We have shown that the convergence rate of synchronization error. Therefore, use encryption and its analysis for the chaotic FOLUS. In addition, we show that the method used here is better than other existing algorithm.A class of rings between Armendariz and Central Armendariz rings
http://jlta.iauctb.ac.ir/article_679289.html
The purpose of this paper is to introduce a proper class of rings between Armendariz and Central Armendariz rings. In this direction, we define the concept of Idempotent Armendariz rings.&nbsp;We consider the closure of the $Id$-Armendariz rings with respect to various extensions including&nbsp;direct product, matrices rings, corner rings, polynomial rings and etc.Weak separation axioms via almost-ID-sets
http://jlta.iauctb.ac.ir/article_679322.html
The purpose of this paper is to introduce some new classes of almost ideal topological spaces by using the notion of almost-$I$-open sets and study some of their fundamental properties. We study some low separation axioms in almost ideal topological spaces.