Modified conformable double Laplace–Sumudu approach with applications

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 different...

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Bibliographic Details
Published in:Heliyon
Main Authors: Shams A. Ahmed, Rania Saadeh, Ahmad Qazza, Tarig M. Elzaki
Format: Article
Language:English
Published: Elsevier 2023-05-01
Subjects:
Laplace transform
Sumudu transform
Conformable derivative
Double laplace– sumudu transform
Decomposition method
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844023030980
Description
Summary: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.
ISSN:2405-8440

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