The Aboodh transformation-based homotopy perturbation method: new hope for fractional calculus

Frontiers in Physics

Physics

Naveed Anjum¹  Yong-Ju Yang²  Huiqiang Tao³ 

[1] Department of Mathematics, Government College University, Faisalabad, Pakistan;School of Mathematics and Statistics, Nanyang, China;School of Mathematics and Statistics, Zhumadian, China;

关键词: homotopy perturbation method;    Aboodh transform;    He’s polynomials;    fractional differential equation;    two-scale fractal theory;   

DOI  :  10.3389/fphy.2023.1168795

 received in 2023-02-18, accepted in 2023-04-03,  发布年份 2023

来源: Frontiers

【 摘 要 】

Fractional differential equations can model various complex problems in physics and engineering, but there is no universal method to solve fractional models precisely. This paper offers a new hope for this purpose by coupling the homotopy perturbation method with Aboodh transform. The new hybrid technique leads to a simple approach to finding an approximate solution, which converges fast to the exact one with less computing effort. An example of the fractional casting-mold system is given to elucidate the hope for fractional calculus, and this paper serves as a model for other fractional differential equations.

【 授权许可】

Unknown   
Copyright © 2023 Tao, Anjum and Yang.