Application of fractional sub-equation method to the space-time fractional differential equations. (English) Zbl 1390.35400

Kadkhoda, Nematollah; Jafari, Hossein

Int. J. Adv. Appl. Math. Mech. 4, No. 3, 1-6 (2017).

Summary: In this paper we discuss the efficiency of the sub-equation method to construct the exact analytical solutions of the nonlinear time-fractional equations. The fractional sub-equation method is considered for application to the spacetime fractional Telegraph and Burgers-Huxley equations. These solutions include the generalized trigonometric function solutions, generalized hyperbolic function solutions, and rational function solutions, which they are benefit to further understand the concepts of the complicated nonlinear physical phenomena and fractional differential equations. In this work we use of Mathematica for computations and programming.

MSC:

35R11

Fractional partial differential equations

Keywords:

fractional sub-equation method; Caputo fractional derivative; telegraph equation; Burgers-Huxley equation