The (G '/G,1/G)-expansion method for solving nonlinear space-time fractional differential equations


YAŞAR E. , Giresunlu I. B.

PRAMANA-JOURNAL OF PHYSICS, vol.87, no.2, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 87 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.1007/s12043-016-1225-7
  • Title of Journal : PRAMANA-JOURNAL OF PHYSICS

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.