An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives

Autor:	Shams A. Ahmed
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Applied Mathematics, Vol 2024 (2024)
Druh dokumentu:	article
ISSN:	1687-0042
DOI:	10.1155/2024/5958560
Popis:	In this paper, an efficient new technique is used for solving nonlinear fractional problems that satisfy specific criteria. This technique is referred to as the double conformable fractional Laplace-Elzaki decomposition method (DCFLEDM). This approach combines the double Laplace-Elzaki transform method with the Adomian decomposition method. The fundamental concepts and findings of the recently suggested transformation are presented. For the purpose of assessing the accuracy of our approach, we provide three examples and introduce the series solutions of these equations using DCLEDM. The results show that the proposed strategy is a very effective, reliable, and efficient approach for addressing nonlinear fractional problems using the conformable derivative.
Databáze:	Directory of Open Access Journals
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