Year: 2024
Author: Wagdi F. S. Ahmed, D. D. Pawar
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 1186–1199
Abstract
The present paper introduces the Aboodh transform technique as a method for obtaining solutions to a class of non-homogeneous fractional integral equations. The emphasis is placed on equations characterized by expressions involving Riemann-Liouville fractional integrals of orders $1,$ $\frac{1}{2},$ and $\frac{1}{3}.$ The paper includes illustrative examples that demonstrate the application of the Aboodh transform technique. These examples elucidate how the technique can effectively yield solutions for specific instances of the mentioned equations. The obtained solutions are presented in the form of Mellin-Ross functions.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.1186
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 1186–1199
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Fractional differential equations Aboodh transform fractional integral equations Mellin-Ross function Riemann-Liouville fractional integral.