Abstract: In this paper, a nonlinear fractional diffusion and wave equations are solved using the Abaoub-Shkheam Decomposition Method (QDM). The Caputo sense is used to characterise the fractional derivative. An example is pro-vided to demonstrate the method's efficiency and practicality.
Keywords: Abaoub Shkheam transform, Adomian decomposition method, Fractional derivatives, A nonlinear frac-tional diffusion and wave equations.
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