Evaluation of fractional-order equal width equations with the exponential-decay kernel

AIMS Mathematics

article

Manal Alqhtani¹  Khaled M. Saad¹  Rasool Shah²  Thongchai Botmart³  Waleed M. Hamanah⁴ 

[1] Department of Mathematics, College of Sciences and Arts, Najran University;Department of Mathematics, Abdul Wali Khan University Mardan Pakistan;Department of Mathematics, Faculty of Science, Khon Kaen University;Interdisciplinary Research Center in Renewable Energy and Power Systems, King Fahd University for Petroleum and Minerals

关键词: homotopy perturbation method;    Yang transform;    equal width equations;    Caputo-Fabrizio operator;   

DOI  :  10.3934/math.2022949

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this article we consider the homotopy perturbation transform method to investigate the fractional-order equal-width equations. The homotopy perturbation transform method is a mixture of the homotopy perturbation method and the Yang transform. The fractional-order derivative are defined in the sense of Caputo-Fabrizio operator. Several fractions of solutions are calculated which define some valuable evolution of the given problems. The homotopy perturbation transform method results are compared with actual results and good agreement is found. The suggested method can be used to investigate the fractional perspective analysis of problems in a variety of applied sciences.

【 授权许可】

CC BY