Abstract: The exact solution of a nonlinear fractional Volterra-Fredholm integro-differential equation is found in this paper through the successful application of the Abaoub Shkheam decomposition method. These techniques have a wider range of applications due to their dependability and decreased computational effort.
Additionally, analytical approximations can be used to formally determine the solution's behaviour. Lastly, an exam-ple is provided in this study to show the reliability and suitability of the suggested methodologies.
Keywords: Abaoub-Shkheam transform, Adomian Decomposition Method, A nonlinear Fractional Volterra Fredholm integro-differential equations.
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DOI:
10.17148/IARJSET.2025.12124
[1] Ali E. Abaoub, Abejela S. Shkheam, Huda A. Abu Altayib, "Abaoub Shkheam decomposition method for a nonlinear fractional Volterra-Fredholm integro-differential equations," International Advanced Research Journal in Science, Engineering and Technology (IARJSET), DOI: 10.17148/IARJSET.2025.12124
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