Efficient Solution of Fractional System Partial Differential Equations Using Laplace Residual Power Series Method

Author:

Shafee Ahmad1,Alkhezi Yousuf2,Shah Rasool3ORCID

Affiliation:

1. Laboratory Technology Department, College of Technological Studies, Public Authority for Applied Education and Training (PAAET), Kuwait City 70654, Kuwait

2. Mathematics Department, College of Basic Education, Public Authority for Applied Education and Training (PAAET), Kuwait City 70654, Kuwait

3. Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan

Abstract

In this paper, we present an efficient solution method for solving fractional system partial differential equations (FSPDEs) using the Laplace residual power series (LRPS) method. The LRPS method is a powerful technique for solving FSPDEs, as it allows for the efficient computation of the solution in the form of a power series expansion. The method is based on the Laplace transform and the residual power series, and is applied to a system of coupled FSPDEs. The method is validated using several test problems, and the results show that the LRPS method is a reliable and efficient method for solving FSPDEs.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference39 articles.

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