Communications in Mathematics and Applications 

About: Communications in Mathematics and Applications is an academic journal published by RGN Publications. The journal publishes majorly in the area(s): Metric space & Computer science. It has an ISSN identifier of 0975-8607. Over the lifetime, 429 publications have been published receiving 765 citations.

Analytic and Numerical Solutions of Time-Fractional Linear Schrödinger Equation

Abstract: Fractional Schrodinger Equation is a basic equation in fractional quantum mechanics In this paper, we consider both analytic and numerical solutions of time-fractional linear Schrodinger Equations This is done via a proposed semi-analytical method upon the modification of the classical Differential Transformation Method (DTM) Some illustrative examples are used; the results obtained converge faster to their exact forms This shows that this modified version is very efficient, and reliable, as less computational work is involved, even without given up accuracy Therefore, it is strongly recommended for both linear and nonlinear time-fractional partial differential equations (PDEs) with applications in other areas of applied sciences, management, and finance

Spaces of Series Summable by Absolute Cesàro and Matrix Operators

Abstract: In this paper giving some algebraic and topological properties of \(|C_\alpha|_k\), we characterize the classes of all infinite matrices \((|C_\alpha|,|C_\delta|_k)\) and \((|C_\alpha|_k,|C_\delta|)\) for \(\alpha,\delta>-1\) and \(k\ge 1\), show that each element of this classes correspond to a continuous linear mapping, which also enables us to extend some well known results of Flett [7], Orhan and Sarigol [15], Bosanquet [2], Mehdi [13], Mazhar [11], and Sarigol [18], where \(|C_\alpha|_k\) is the space of series summable by absolute Cesaro summability \(|C,\alpha|_k\) in Flett's notation

A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces

Abstract: In this study, we re-define some operations on neutrosophic soft sets differently from the studies [3, 9]. On this operations are given interesting examples and them basic properties. In the direction of these newly defined operations, we construct the neutrosophic soft topological spaces differently from the study [3]. Finally, we introduce basic definitions and theorems on neutrosophic soft topological spaces.

Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers

Abstract: In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their properties.

Approximate Solutions for the Projects Revenues Assignment Problem

Abstract: The aim of this research work is to find algorithms solving an NP-hard problem by elaborating several heuristics. This problem is to find an appropriate schedule to assign different projects, which will be expected to generate fixed revenues, to several cities. For this work, we assume that all cities have the same socio-economic and strategic characteristics. The problem is as follow. Given a set of projects which represented by its expected revenues. The objective is to distribute on several cities all projects with a minimum expected revenues gap between cities. Thus, our objective is to minimize the expected revenue gap. The suitable assignment is searching equity between cities. In this paper, we formulate mathematically the studied problem to find an approximate solutions and apply some methods to search resolution of the studied problem.