A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations


Guner O., ÇEVİKEL A. C.

SCIENTIFIC WORLD JOURNAL, 2014 (Journal Indexed in SCI) identifier identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2014
  • Doi Number: 10.1155/2014/489495
  • Title of Journal : SCIENTIFIC WORLD JOURNAL

Abstract

We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. The Exp-function method is extended to solve fractional partial differential equations in the sense of the modified Riemann-Liouville derivative. We apply the Exp-function method to the time fractional Sharma-Tasso-Olver equation, the space fractional Burgers equation, and the time fractional fmKdV equation. As a result, we obtain some new exact solutions.