Novel integral transform treating some Ψ-fractional derivative equations

• Autorzy: Chamekh Mourad , Latrache Mohamed Ali , Elzaki Tarig M.

Identyfikatory

DOI

10.2478/ama-2024-0060

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Ψ-Integral transform; Ψ-Hilfer derivative; Ψ-Caputo derivative; Ψ-Hilfer fractional derivative equation

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2024
• Tom: Vol. 18, no. 3
• Strony: 571--578
• Opis fizyczny: Bibliogr. 39 poz., wykr.

Twórcy

autor

Chamekh Mourad

• Department of Mathematics, University of Jeddah, College of Science and Arts El Kamel, Jeddah, Saudi Arabia

• https://orcid.org/0000-0002-6335-0804

autor

Latrache Mohamed Ali

• University of Tunis El Manar, National Engineering School at Tunis, LAMSIN, B.P. 37, 1002, Tunis-Belvédère, Tunisia

• https://orcid.org/0000-0001-9274-1014

autor

Elzaki Tarig M.

• Department of Mathematics, University of Jeddah, College of Science and Arts El Kamel, Jeddah, Saudi Arabia

• https://orcid.org/0000-0002-6946-9267

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