Novel Evaluation of the Fractional Acoustic Wave Model with the Exponential-Decay Kernel

Author:

Alyusof Rabab1,Alyusof Shams2,Iqbal Naveed3ORCID,Arefin Mohammad Asif4ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, King Saud University, Riyadh, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Imam Muhammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

3. Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

4. Department of Mathematics, Jashore University of Science and Technology, Jashore-7408, Bangladesh

Abstract

This study employs a newly developed methodology called the variational homotopy perturbation transformation method to study fractional acoustic wave equations. The motivation for this study is to extend the variational homotopy perturbation technique to the variational homotopy perturbation transformation technique in the sense of the Yang–Caputo–Fabrizio operator. The suggested method demonstrated a straightforward and accurate technique for investigating fractional-order partial differential equations. The technique’s validity is demonstrated through the use of several illustrative instances. The obtained answers were found to be extremely near to the precise solutions. Additionally, the proposed strategy achieves the best degree of accuracy. Indeed, the current technique can be seen as one of the analytic strategies for solving nonlinear fractional partial differential equations compared to other analytical techniques.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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