A homotopy perturbation method with Elzaki transformation for solving the fractional Biswas

A homotopy perturbation method with Elzaki transformation for solving the fractional Biswas–Milovic model

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5471
Container-title:Open Physics
language:en
Short-container-title:

Author:

Alshehry Azzh Saad¹,Yasmin Humaira²,Shah Rasool³

Affiliation:

1. Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah bint Abdulrahman University , P.O. Box 84428 , Riyadh 11671 , Saudi Arabia

2. Department of Basic Sciences, General Administration of the Preparatory Year, King Faisal University , Al-Ahsa, 31982 , Saudi Arabia

3. Department of Mathematics, Abdul Wali Khan University Mardan , Pakistan

Abstract

Abstract In this research, we use the homotopy perturbation method (HPM) combined with the Elzaki transform to investigate the fractional Biswas–Milovic equation (BME) within the framework of the Caputo operator. The fractional BME is a significant mathematical model with applications in various scientific and engineering fields, including physics, biology, and chemistry. However, its fractional nature introduces analytical complexities. By integrating the HPM with the Elzaki transform, we aim to provide an effective approach for obtaining accurate solutions to this equation. The combination of these mathematical techniques allows us to explore the behavior of the fractional BME in a comprehensive manner. The research outcomes are supported by numerical results and comparisons, demonstrating the reliability and efficiency of the proposed methodology. This study contributes to advancing the tools for solving fractional equations and enhances our understanding of the intricate dynamics described by the fractional BME.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2023-0147/pdf

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