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

Author

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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)

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.

Suggested Citation

  • Ali E. Abaoub & Abejela S. Shkheam & Khireya A. Alkeweldy, 2024. "A Novel Approach to Nonlinear Volterra-Fredholm Integral Equations Using Abaoub Shkheam Decomposition Method," International Journal of Latest Technology in Engineering, Management & Applied Science, International Journal of Latest Technology in Engineering, Management & Applied Science (IJLTEMAS), vol. 13(10), pages 173-180, October.
    • Handle: RePEc:bjb:journl:v:13:y:2024:i:10:p:173-180
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