A Novel Application of the Abaoub-Shkheam Decomposition Method to Nonlinear Fractional Diffusion-Wave Equations

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.

Publication Details

Journal
IJIREEICE
Published
2025-01-26
DOI
https://doi.org/10.17148/ijireeice.2025.13104
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

A Novel Application of the Abaoub-Shkheam Decomposition Method to Nonlinear Fractional Diffusion-Wave Equations

IJIREEICE
Fractional Differential Equations Solutions
article

A Novel Application of the Abaoub-Shkheam Decomposition Method to Nonlinear Fractional Diffusion-Wave Equations

article en

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.

IJIREEICEVol. 13(1)
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Fractional Differential Equations Solutions
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A Novel Application of the Abaoub-Shkheam Decomposition Method to Nonlinear Fractional Diffusion-Wave Equations · IJIREEICE (2025) | TGRS Research Map | TGRS