Publication: The (G '/G,1/G)-expansion method for solving nonlinear space-time fractional differential equations
No Thumbnail Available
Date
2015-10-01
Authors
Yaşar, Emrullah
Giresunlu, İlker Burak
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Indian Acad Sciences
Abstract
In this work, we present (G'/G,1/G)-expansion method for solving fractional differential equations based on a fractional complex transform. We apply this method for solving space-time fractional Cahn-Allen equation and space-time fractional Klein-Gordon equation. The fractional derivatives are described in the sense of modified Riemann-Lioville. As a result of some exact solution in the form of hyperbolic, trigonometric and rational solutions are deduced. The obtained solutions may be used for explaining of some physical problems. The (G'/G,1/G)-expansion method has a wider applicability for nonlinear equations. We have verified all the obtained solutions with the aid of Maple.
Description
Keywords
Physics, Exact solution, Modified, Riemann-Liouville fractional derivative, Space-time Cahn-Allen equation, Space-time Klein-Gordon equation, (G '/G,1/G)-expansion method, Complex transform, Equations of motion, Exact solution, Expansion methods, Klein-Gordon equation, Riemann-Liouville fractional derivatives, Space time, Nonlinear equations
Citation
Yaşar, E. ve Giresunlu, İ. B. (2016). "The (G '/G,1/G)-expansion method for solving nonlinear space-time fractional differential equations". Pramana-Journal of Physics, 87(2).