TITLE:
The Traveling Wave Solutions of Space-Time Fractional Differential Equation Using Fractional Riccati Expansion Method
AUTHORS:
Xiaohua Liu
KEYWORDS:
Conformable Fractional Derivative, The Chain Rule, Exact Solution, Fractional Riccati Expansion Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.10,
October
10,
2018
ABSTRACT: In this paper, we firstly give a counterexample to
indicate that the chain rule is lack of
accuracy. After that, we put forward the fractional
Riccati expansion method. No need to use the chain
rule, we apply this method to fractional KdV-type and fractional Telegraph
equations and obtain the tangent and cotangent functions solutions of these
fractional equations for the first time.