TITLE:
Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations
AUTHORS:
Md. Abdus Salam, Umme Habiba
KEYWORDS:
Improved Kudryashov Method, Time-Space Fractional KdV-Burger Equation, Travelling Wave Solutions, Jumarie’s Modified Riemann-Liouville Derivative
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.4,
April
24,
2019
ABSTRACT: Our purpose of this paper is to
apply the improved Kudryashov method for solving various types of nonlinear
fractional partial differential equations. As an
application, the time-space fractional Korteweg-de Vries-Burger (KdV-Burger) equation is solved using this method and we get some new travelling wave
solutions. To acquire our purpose a complex transformation has been also used
to reduce nonlinear fractional partial differential equations to nonlinear
ordinary differential equations of integer order, in the sense of the Jumarie’s
modified Riemann-Liouville derivative. Afterwards, the improved Kudryashov
method is implemented and we get our required reliable solutions where the
results are justified by mathematical software Maple-13.