Article citationsMore>>

Boyce, W.E. and Diprima, R.C. (2001) Elementary Differential Equations and Boundary Value Problems. 7th Edition, John Wiley & Sons Inc., New York, 259-300.

has been cited by the following article:

• 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.