2022-11-282022-11-282015-10-01Yaşar, 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).0304-42890973-7111https://doi.org/10.1007/s12043-016-1225-7https://link.springer.com/article/10.1007/s12043-016-1225-7http://hdl.handle.net/11452/29600In 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.eninfo:eu-repo/semantics/closedAccessPhysicsExact solutionModifiedRiemann-Liouville fractional derivativeSpace-time Cahn-Allen equationSpace-time Klein-Gordon equation(G '/G,1/G)-expansion methodComplex transformEquations of motionExact solutionExpansion methodsKlein-Gordon equationRiemann-Liouville fractional derivativesSpace timeNonlinear equationsArticle0003820067000012-s2.0-84983073947872Physics, multidisciplinaryFractional Differential Equation; Exact Solution; Korteweg-de Vries Equation