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This work is licensed under a Creative Commons Attribution 4.0 International License.
A Novel Application of the Abaoub-Shkheam Decomposition Method to Nonlinear Fractional Diffusion-Wave Equations
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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 provided to demonstrate the method's efficiency and practicality.
Keywords: Abaoub Shkheam transform, Adomian decomposition method, Fractional derivatives, A nonlinear fractional diffusion and wave equations.
Keywords: Abaoub Shkheam transform, Adomian decomposition method, Fractional derivatives, A nonlinear fractional diffusion and wave equations.
How to Cite:
[1] Abejela S. Shkheam, Ali E. Abaoub, Reem S. Amer, âA Novel Application of the Abaoub-Shkheam Decomposition Method to Nonlinear Fractional Diffusion-Wave Equations,â International Journal of Innovative Research in Electrical, Electronics, Instrumentation and Control Engineering (IJIREEICE), DOI: 10.17148/IJIREEICE.2025.13104
This work is licensed under a Creative Commons Attribution 4.0 International License.