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

Author name : Shams Eldeen Ahmed Abdelmajed Mohammed
Publication Date : 2024-02-23
Journal Name : JOURNAL OF APPLIED MATHEMATICS

Abstract

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.

Keywords

Conformable Derivatives; Double Laplace-Elzaki transform; Adomian decomposition method; Nonlinear fractional partial differential problems.

Publication Link

https://doi.org/10.1155/2024/5958560

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