A generalized fractional sub-equation method the nonlinear fractional differential equations

Subject	Fractional differential equations and applications
Title	A generalized fractional sub-equation method the nonlinear fractional differential equations
Author(s)	Ahmet Bekir, Esin Aksoy, Özkan Güner
Keywords	exact solutions, traveling wave transform, sub-equation method, space-time fractional differential equation
Abstract	This letter studies some nonlinear fractional differential equations [1,2,3,4]. The sub-equation method is used for finding exact solutions of these equations [5,6]. Meanwhile, the traveling wave transformation method has been used to convert fractional order partial differential equation to fractional order ordinary differential equation. Calculations in this method are simple and effective mathematical tool for solving fractional differential equations in science and engineering. The power of this manageable method is presented by applying it to several examples. This approach can also be applied to other nonlinear fractional differential equations.

A novel modified simple equation method and its application to some nonlinear evolution equation systems

Subject	Computational methods in partial differential equations
Title	A novel modified simple equation method and its application to some nonlinear evolution equation systems
Author(s)	Ahmet Bekir, Melike Kaplan, Özkan Güner
Keywords	exact solutions, modified simple equation method (MSE), the nonlinear Drinfeld-Sokolov system, Maccari system, Coupled Higgs equation.
Abstract	In this paper, the modified simple equation method (MSE) [1,2] is used to construct exact solutions of the nonlinear Drinfeld-Sokolov system, Maccari system and Coupled Higgs equation in applied mathematics and mathematical physics. The exact solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive. Also we can see that when the parameters are assigned special values, solitary wave solutions can be obtained from the exact solutions [3-6]. All calculations in this study have been made with the aid of the Maple packet program.