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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Detalles Bibliográficos
Autores principales: Ahmed, Shams A., Saadeh, Rania, Qazza, Ahmad, Elzaki, Tarig M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10165409/
https://www.ncbi.nlm.nih.gov/pubmed/37168890
http://dx.doi.org/10.1016/j.heliyon.2023.e15891
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author Ahmed, Shams A.
Saadeh, Rania
Qazza, Ahmad
Elzaki, Tarig M.
author_facet Ahmed, Shams A.
Saadeh, Rania
Qazza, Ahmad
Elzaki, Tarig M.
author_sort Ahmed, Shams A.
collection PubMed
description 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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spelling pubmed-101654092023-05-09 Modified conformable double Laplace–Sumudu approach with applications Ahmed, Shams A. Saadeh, Rania Qazza, Ahmad Elzaki, Tarig M. Heliyon Research Article 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. Elsevier 2023-04-29 /pmc/articles/PMC10165409/ /pubmed/37168890 http://dx.doi.org/10.1016/j.heliyon.2023.e15891 Text en © 2023 The Authors https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Ahmed, Shams A.
Saadeh, Rania
Qazza, Ahmad
Elzaki, Tarig M.
Modified conformable double Laplace–Sumudu approach with applications
title Modified conformable double Laplace–Sumudu approach with applications
title_full Modified conformable double Laplace–Sumudu approach with applications
title_fullStr Modified conformable double Laplace–Sumudu approach with applications
title_full_unstemmed Modified conformable double Laplace–Sumudu approach with applications
title_short Modified conformable double Laplace–Sumudu approach with applications
title_sort modified conformable double laplace–sumudu approach with applications
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10165409/
https://www.ncbi.nlm.nih.gov/pubmed/37168890
http://dx.doi.org/10.1016/j.heliyon.2023.e15891
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