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Exploring the Double Ara-kamal Transform for Solving Fractional Partial Differential Equations

Year: 2025

Type: article

Abstract: In this article, we explore the application of the double ARA-Kamal transformation (DARA-KT) to the nonlocal fractional Caputo derivative operator. Our investigation yields intriguing findings, particularly in solving certain classes of fractional partial differential equations (FPDEs). We delve into various physical scenarios, including Wave, Klein-Gordon, and Fokker-Planck equations, analyzing their implications. The incorporation of the DARA-KT technique proves to be both efficient and precise in deriving exact solutions for FPDEs. To demonstrate the practicality of our approach, we present some numerical examples and figures.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250038

Authors: D. D. Pawar, R. D. Kadam, Sultan S Alshamrani, Wagdi F. S. Ahmed

Institutions: Swami Ramanand Teerth Marathwada University, Taif University, University of Lahej

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7108344821

FWCI:

Cites: 30

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