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Modified conformable double Laplace Sumudu approach with applications

Author name : Shams Eldeen Ahmed Abdelmajed Mohammed
Publication Date : 2023-01-24
Journal Name : Heliyon

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

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

Publication Link

https://doi.org/10.1016/j.heliyon.2023.e15891

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