Applied Mathematics
Volume 5, Issue 13 (July 2014)
ISSN Print: 2152-7385 ISSN Online: 2152-7393
Google-based Impact Factor: 0.58 Citations
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method ()
Affiliation(s)
ABSTRACT
In this article, the modified simple equation method has been extended to celebrate the exact solutions of nonlinear partial time-space differential equations of fractional order. Firstly, the fractional complex transformation has been implemented to convert nonlinear partial fractional differential equations into nonlinear ordinary differential equations. Afterwards, modified simple equation method has been implemented, to find the exact solutions of these equations, in the sense of modified Riemann-Liouville derivative. For applications, the exact solutions of time-space fractional derivative Burgers’ equation and time-space fractional derivative foam drainage equation have been discussed. Moreover, it can also be concluded that the proposed method is easy, direct and concise as compared to other existing methods.
KEYWORDS
Share and Cite:
Cited by
Copyright © 2024 by authors and Scientific Research Publishing Inc.
This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.