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

被引：12

作者：

Shafee, Ahmad ^{[1
]}

Alkhezi, Yousuf ^{[2
]}

Shah, Rasool ^{[3
]}

机构：

[1] Publ Author Appl Educ & Training PAAET, Coll Technol Studies, Lab Technol Dept, Kuwait 70654, Kuwait

[2] Publ Author Appl Educ & Training PAAET, Coll Basic Educ, Math Dept, Kuwait 70654, Kuwait

[3] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 06期

关键词：

fractional-order system of partial differential equations; Caputo operator; residual power series; Laplace transform;

D O I：

10.3390/fractalfract7060429

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

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页数：12

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