The Fractional Investigation of Some Nonlinear Partial Differential Equations by Using an Efficient Procedure

Journal article

Authors/Editors

Strategic Research Themes

Publication Details

Author list: Tchier, Fairouz; Khan, Hassan; Khan, Shahbaz; Kumam, Poom; Dassios, Ioannis;

Publication year: 2023

Volume number: 135

Issue number: 3

Start page: 2137

End page: 2153

Number of pages: 17

ISSN: 15261492

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143199011&doi=10.32604%2fcmes.2023.022855&partnerID=40&md5=12185469b27fe021e6bc7d177f53cb59

Languages: English-Great Britain (EN-GB)

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Abstract

The nonlinearity in many problems occurs because of the complexity of the given physical phenomena. The present paper investigates the non-linear fractional partial differential equations’ solutions using the Caputo operator with Laplace residual power series method. It is found that the present technique has a direct and simple implementation to solve the targeted problems. The comparison of the obtained solutions has been done with actual solutions to the problems. The fractional-order solutions are presented and considered to be the focal point of this research article. The results of the proposed technique are highly accurate and provide useful information about the actual dynamics of each problem. Because of the simple implementation, the present technique can be extended to solve other important fractional order problems. © 2023 Tech Science Press. All rights reserved.

Keywords

fractional power series