Theory and Applications of Distinctive Conformable Triple Laplace and Sumudu Transforms Decomposition Methods
Year: 2022
Author: Shailesh A. Bhanotar, Fethi Bin Muhammad Belgacem
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 1 : pp. 49–77
Abstract
This article presents some important results of conformable fractional partial derivatives. The conformable triple Laplace and Sumudu transform are coupled with the Adomian decomposition method where a new method is proposed to solve nonlinear partial differential equations in 3-space. Moreover, mathematical experiments are provided to verify the performance of the proposed method. A fundamental question that is treated in this work: is whether using the Laplace and Sumudu transforms yield the same results? This question is amply answered in the realm of the proposed applications.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v35.n1.4
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 1 : pp. 49–77
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Riemann-Liouville fractional integral fractional derivative Adomian decomposition method conformable fractional partial derivative conformable triple Laplace and Sumudu transform.
Author Details
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Conformable Double Laplace–Sumudu Iterative Method
Ahmed, Shams A.
Qazza, Ahmad
Saadeh, Rania
Elzaki, Tarig M.
Symmetry, Vol. 15 (2022), Iss. 1 P.78
https://doi.org/10.3390/sym15010078 [Citations: 4]