RESEARCH PAPER
Novel Integral Transform Treating Some Ψ-Fractional Derivative Equations
1
Department of Mathematics, University of Jeddah, College of Science and Arts El Kamel, Jeddah, Saudi Arabia
2
University of Tunis El Manar, National Engineering School at Tunis, LAMSIN, B.P. 37, 1002, Tunis-Belvédère, Tunisia
Submission date: 2023-09-25
Acceptance date: 2024-01-21
Online publication date: 2024-08-01
Publication date: 2024-09-01
Acta Mechanica et Automatica 2024;18(3):571-578
KEYWORDS
ABSTRACT
The paper deals with a new integral transformation method called Ψ-Elzaki transform (PETM) in order to analyze some Ψ-fractional differential equations. The proposed method uses a modification of the Elzaki transform that is well adapted to deal with Ψ-fractional operators. To solve the nonlinear Ψ-fractional differential equations, we combine the PETM by an iterative method to overcome this nonlinearity. To validate the accuracy and efficiency of this approach, we compare the results of the discussed numerical examples with the exact solutions.
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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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