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.

| DOI: 10.17148/IARJSET.2025.12124