Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations. (9th June 2013)

• Record Type: Journal Article
• Authors: Bekir, Ahmet; Güner, Özkan; Cevikel, Adem C.
• Other Names: Bayram Mustafa Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-06-09
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/426462
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The exp-function method is presented for finding the exact solutions of nonlinear fractional equations. New solutions are constructed in fractional complex transform to convert fractional differential equations into ordinary differential equations. The fractional derivatives are described in Jumarie's modified Riemann-Liouville sense. We apply the exp-function method to both the nonlinear time and space fractional differential equations. As a result, some new exact solutions for them are successfully established.