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A note on exp-function method combined with complex transform method applied to fractional differential equations

Authors :
Guner Ozkan
Bekir Ahmet
Bilgil Halis
Source :
Advances in Nonlinear Analysis, Vol 4, Iss 3, Pp 201-208 (2015)
Publication Year :
2015
Publisher :
De Gruyter, 2015.

Abstract

In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville equation and nonlinear fractional Zoomeron equation. These nonlinear fractional equations can be turned into another nonlinear ordinary differential equation by complex transform method. This method is efficient and powerful in solving wide classes of nonlinear fractional order equations. The exp-function method appears to be easier and more convenient by means of a symbolic computation system.

Details

Language :
English
ISSN :
21919496 and 2191950X
Volume :
4
Issue :
3
Database :
Directory of Open Access Journals
Journal :
Advances in Nonlinear Analysis
Publication Type :
Academic Journal
Accession number :
edsdoj.44ea9b730a6b415aa0ed95a0de764bb3
Document Type :
article
Full Text :
https://doi.org/10.1515/anona-2015-0019