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

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

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...

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Bibliographic Details
Main Authors: Saima Noor, Wedad Albalawi, Rasool Shah, Ahmad Shafee, Sherif M. E. Ismaeel, S. A. El-Tantawy
Format: Article
Language:English
Published: Frontiers Media S.A. 2024-03-01
Series:Frontiers in Physics
Subjects:
linear and nonlinear partial differential equations
Aboodh residual power series method
Aboodh transform iteration method
caputo operator
Transformation by Fractional Burger’s equation, Fractional KdV equation
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2024.1374049/full

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https://www.frontiersin.org/articles/10.3389/fphy.2024.1374049/full

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