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

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...

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Bibliographic Details
Main Authors: Rasool Shah, Hassan Khan, Poom Kumam, Muhammad Arif
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/6/505
Description
Summary: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.
ISSN:2227-7390