A novel method for the analytical solution of fractional Zakharov–Kuznetsov equations

Advances in Difference Equations

Hassan Khan¹  Muhammad Arif¹  Rasool Shah¹  Dumitru Baleanu²  Poom Kumam³ 

[1] Department of Mathematics, Abdul Wali khan University;Department of Mathematics, Faculty of Arts and Sciences, Cankaya University;Theoretical and Computational Science (TaCS) Center, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT);

关键词: Laplace transformation;    Adomian decomposition method;    Zakharov–Kuznetsov equations;    Caputo operator;   

DOI  :  10.1186/s13662-019-2441-5

来源: DOAJ

【 摘 要 】

Abstract In this article, an efficient analytical technique, called Laplace–Adomian decomposition method, is used to obtain the solution of fractional Zakharov– Kuznetsov equations. The fractional derivatives are described in terms of Caputo sense. The solution of the suggested technique is represented in a series form of Adomian components, which is convergent to the exact solution of the given problems. Furthermore, the results of the present method have shown close relations with the exact approaches of the investigated problems. Illustrative examples are discussed, showing the validity of the current method. The attractive and straightforward procedure of the present method suggests that this method can easily be extended for the solutions of other nonlinear fractional-order partial differential equations.

【 授权许可】

Unknown