An Analytical Technique to Solve the System of Nonlinear Fractional Partial Differential Equations

Mathematics

Muhammad Arif¹  Poom Kumam²  Hassan Khan³  Rasool Shah³ 

[1] Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand;;Center of Excellence in Theoretical and Computational Science (TaCS-CoE) &Department of Mathematics, Abdul Wali khan University, Mardan 23200, Pakistan;

关键词: Laplace–Adomian decomposition method;    Fractional–order systems of non-linear partial differential equations;    Caputo operator;    Laplace transformation;    Mittag–Leffler function;   

DOI  :  10.3390/math7060505

来源: DOAJ

【 摘 要 】

The Kortweg−de Vries equations play an important role to model different physical phenomena in nature. In this research article, we have investigated the analytical solution to system of nonlinear fractional Kortweg−de Vries, partial differential equations. The Caputo operator is used to define fractional derivatives. Some illustrative examples are considered to check the validity and accuracy of the proposed method. The obtained results have shown the best agreement with the exact solution for the problems. The solution graphs are in full support to confirm the authenticity of the present method.

【 授权许可】

Unknown