A Novel Approach to Nonlinear Volterra-Fredholm Integral Equations Using Abaoub Shkheam Decomposition Method

Ali E. Abaoub, Abejela S. Shkheam and Khireya A. Alkeweldy
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Ali E. Abaoub: Mathematical Department, Essential School of Science, Libyan Academy of Postgraduate, Tripoli – Libya
Abejela S. Shkheam: Mathematical Department, Essential School of Science, Libyan Academy of Postgraduate, Tripoli – Libya
Khireya A. Alkeweldy: Mathematical Department, Faculty of Science, Zintan University, Zintan-Libya

International Journal of Latest Technology in Engineering, Management & Applied Science, 2024, vol. 13, issue 10, 173-180

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.

Date: 2024
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