On the concept of exact solution for nonlinear differential equations of fractional-order
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.39, sa.14, ss.4035-4043, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 14
- Basım Tarihi: 2016
- Doi Numarası: 10.1002/mma.3845
- Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.4035-4043
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
In this article, the new exact travelling wave solutions of the nonlinear space-time fractional Burger's, the nonlinear space-time fractional Telegraph and the nonlinear space-time fractional Fisher equations have been found. Based on a nonlinear fractional complex transformation, certain fractional partial differential equations can be turned into ordinary differential equations of integer order in the sense of the Jumarie's modified Riemann-Liouville derivative. The (G'/G)-expansion method is effective for constructing solutions to the nonlinear fractional equations, and it appears to be easier and more convenient by means of a symbolic computation system. Copyright (C) 2016 John Wiley & Sons, Ltd.