A comparative analytical investigation for some linear and nonlinear time-fractional partial differential equations in the framework of the Aboodh transformation

• Published in: Frontiers in physics Vol. 12
• Main Authors: Noor, Saima, Albalawi, Wedad, Shah, Rasool, Shafee, Ahmad, Ismaeel, Sherif M. E., El-Tantawy, S. A.
• Format: Journal Article
• Language: English
• Published: Frontiers Media S.A 20.03.2024
• Subjects: Aboodh residual power series method; Aboodh transform iteration method; caputo operator; linear and nonlinear partial differential equations; Transformation by Fractional Burger’s equation, Fractional KdV equation
• ISSN: 2296-424X; 2296-424X
• DOI: 10.3389/fphy.2024.1374049

This article discusses two simple, complication-free, and effective methods for solving fractional-order linear and nonlinear partial differential equations analytically: the Aboodh residual power series method (ARPSM) and the Aboodh transform iteration method (ATIM). The Caputo operator is utilized...