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

Rasool Shah, Hassan Khan, Poom Kumam and Muhammad Arif
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Rasool Shah: Department of Mathematics, Abdul Wali khan University, Mardan 23200, Pakistan
Hassan Khan: Department of Mathematics, Abdul Wali khan University, Mardan 23200, Pakistan
Poom Kumam: Center of Excellence in Theoretical and Computational Science (TaCS-CoE) & 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
Muhammad Arif: Department of Mathematics, Abdul Wali khan University, Mardan 23200, Pakistan

Mathematics, 2019, vol. 7, issue 6, 1-16

Abstract: 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.

Keywords: Laplace–Adomian decomposition method; Fractional–order systems of non-linear partial differential equations; Caputo operator; Laplace transformation; Mittag–Leffler function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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