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Open Access Research Article

Analysis of system of fractional partial differential equations using Laplace reduced differential transform with decomposition method

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pp. 1577–1594Vol. 27Issue 8November 2024DOI: 10.47974/JSMS-1112XML
Received:
12 Oct 2022
Accepted:
11 Jan 2023
Published Online:
18 Dec 2024
Article type:
Research Article
Language:
EN
Article no.:
JSMS-1112
Pages:
1577–1594

Abstract

In this article, we discuss how to solve systems of nonlinear fractional partial differential equations (NFPDEs) by combining the Laplace transform & the reduced differential transform method, often known as the Laplace reduced differential transform with decompostion method (LRDTDM). It is generally considered how to deal with these concerns. In addition, systems of FPDEs of different orders may be solved using this method. The algorithm is Efficient and effective. The convergence and existence results for the suggested technique are presented. To illustrate the reliability and effectiveness of calculations made with mathematical software, numerical examples are utilized. 

Keywords

Subject Classifications

26A3335C1034A0834K28

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