Fractional evaluation of Kaup-Kupershmidt equation with the exponential-decay kernel

AIMS Mathematics

article

M. Mossa Al-Sawalha¹  Rasool Shah²  Kamsing Nonlaopon³  Imran Khan⁴  Osama Y. Ababneh⁵ 

[1] Department of Mathematics, College of Science, University of Ha'il;Department of Mathematics, Abdul Wali khan university;Department of Mathematics, Faculty of Science, Khon Kaen University;Department of mathematics and statistics, Bacha Khan University Charsadda;Department of Mathematics, Faculty of Science, Zarqa University

关键词: Kaup-Kupershmidt equation;    Yang transform;    new iterative transform method;    Caputo-Fabrizio operator;   

DOI  :  10.3934/math.2023186

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, we investigate the semi-analytical solution of Kaup-Kupershmidt equations with the help of a modified method known as the new iteration transformation technique. This method combines the Yang transform and the new iteration technique. The nonlinear terms can be calculated straightforwardly by a new iteration method. The numerical simulation results have been presented to demonstrate the reliability and validity of the proposed approach. The result confirms that the suggested technique is the best tool for dealing with any nonlinear problems arising in technology and science. In addition, in terms of figures for varying fractional order, the physical behavior of new iteration transformation technique solutions has been shown and the numerical simulation is also exhibited. The solutions of the new iteration transformation technique reveal that the projected technique is reliable, competitive and powerful for studying complex nonlinear fractional type models.

【 授权许可】

CC BY