Numerical analysis of fractional-order Whitham-Broer-Kaup equations with non-singular kernel operators

AIMS Mathematics

article

M. Mossa Al-Sawalha¹  Osama Y. Ababneh²  Rasool Shah³  Amjad khan⁴  Kamsing Nonlaopon⁵ 

[1] Department of Mathematics, College of Science, University of Ha'il;Department of Mathematics, Faculty of Science, Zarqa University;Department of Mathematics, Abdul Wali khan university Mardan 23200;Department of Mathematics and statistics, Bacha khan University;Department of Mathematics, Faculty of Science, Khon Kaen University

关键词: system of Whitham-Broer-Kaup equations;    Caputo-Fabrizio and Atangana-Baleanu operators;    natural transform Adomian decomposition method;   

DOI  :  10.3934/math.2023120

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper solves a fractional system of non-linear Whitham-Broer-Kaup equations using a natural decomposition technique with two fractional derivatives. Caputo-Fabrizio and Atangana-Baleanu fractional derivatives were applied in a Caputo-manner. In addition, the results of the suggested method are compared to those of well-known analytical techniques such as the Adomian decomposition technique, the Variation iteration method, and the optimal homotopy asymptotic method. Two non-linear problems are utilized to demonstrate the validity and accuracy of the proposed methods. The analytical solution is then utilized to test the accuracy and precision of the proposed methodologies. The acquired findings suggest that the method used is very precise, easy to implement, and effective for analyzing the nature of complex non-linear applied sciences.

【 授权许可】

CC BY