Modified conformable double Laplace-Sumudu approach with applications

Shams A Ahmed; Rania Saadeh; Ahmad Qazza; Tarig M Elzaki

doi:10.1016/j.heliyon.2023.e15891

Modified conformable double Laplace-Sumudu approach with applications

Heliyon. 2023 Apr 29;9(5):e15891. doi: 10.1016/j.heliyon.2023.e15891. eCollection 2023 May.

Authors

Shams A Ahmed^{1

2}, Rania Saadeh³, Ahmad Qazza³, Tarig M Elzaki⁴

Affiliations

¹ Department of Mathematic, Jouf University, Tubarjal, Saudi Arabia.
² Department of Mathematic, University of Gezira, Sudan.
³ Department of Mathematic, Zarqa University, Zarqa, 13110, Jordan.
⁴ Department of Mathematic, Alkamil, Jeddah, University of Jeddah, Kingdom of Saudi Arabia.

Abstract

In this study, we combine two novel methods, the conformable double Laplace-Sumudu transform (CDLST) and the modified decomposition technique. We use the new approach called conformable double Laplace-Sumudu modified decomposition (CDLSMD) method, to solve some nonlinear fractional partial differential equations. We present the essential properties of the CDLST and produce new results. Furthermore, five interesting examples are discussed and analyzed to show the efficiency and applicability of the presented method. The results obtained show the strength of the proposed method in solving different types of problems.

Keywords: Conformable derivative; Decomposition method; Double laplace– sumudu transform; Laplace transform; Sumudu transform.