A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations. (10th March 2014)

• Record Type: Journal Article
• Authors: Güner, Özkan; Cevikel, Adem C.
• Other Names: Kılıçman A. Academic Editor.; Ray S. S. Academic Editor.; Secer A. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-03-10
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/489495
• Languages: English
• ISSNs: 2356-6140

Abstract

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.