Modified conformable double Laplace-Sumudu approach with applications.

Heliyon

Department of Mathematic, Alkamil, Jeddah, University of Jeddah, Kingdom of Saudi Arabia.

Published: May 2023

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.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10165409PMC
http://dx.doi.org/10.1016/j.heliyon.2023.e15891DOI Listing

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