Evaluation of regularized long-wave equation via Caputo and Caputo-Fabrizio fractional derivatives

AIMS Mathematics

article

Naveed Iqbal¹  Saleh Alshammari¹  Thongchai Botmart² 

[1] Department of Mathematics, College of Science, University of Ha'il;Department of Mathematics, Faculty of Science, Khon Kaen University

关键词: Caputo and Caputo-Fabrizio derivatives;    Yang transformation;    approximate-analytical solution;    regularized long wave equations;   

DOI  :  10.3934/math.20221118

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

The analytical solution of fractional-order regularized long waves in the context of various operators is presented in this study as a framework for the homotopy perturbation transform technique. To investigate regularized long wave equations, we first establish the Yang transform of the fractional Caputo and Caputo-Fabrizio operators. The fractional order regularized long wave equation is solved using the Yang transform as well. The accuracy of the proposed operators are verified using numerical problems, and the resulting solutions are shown in the figures. The solutions demonstrate how the suggested approach is accurate and suitable for analyzing nonlinear physical and engineering challenges.

【 授权许可】

CC BY