A Novel Approach to Nonlinear Volterra-Fredholm Integral Equations Using Abaoub Shkheam Decomposition Method
Authors
Ali E. Abaoub
Mathematical Department, Essential School of Science, Libyan Academy of Postgraduate, Tripoli – Libya (LY)
Abejela S. Shkheam
Mathematical Department, Essential School of Science, Libyan Academy of Postgraduate, Tripoli – Libya (LY)
Khireya A. Alkeweldy
Mathematical Department, Faculty of Science, Zintan University, Zintan-Libya (LY)
Article Information
DOI: 10.51583/IJLTEMAS.2024.131021
Subject Category: Mathematics
Volume/Issue: 13/10 | Page No: 173-180
Publication Timeline
Submitted: 2024-11-18
Published: 2024-11-17
Abstract
In this study, we introduce a novel approach to the solution of a nonlinear Volterra -Fredholm integral equations by applying the Adomian decomposition method under the effect of the Abaoub- Shkheam transform. We demonstrate the existence and uniqueness of the solution in Banach space and illustrate this idea with an example.
Keywords
Abaoub Shkheam-Transform, Volterra- Integral Equations, Fredholm, Integral Equations
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References
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