The Traveling Wave Solutions of Space-Time Fractional Differential Equation Using Fractional Riccati Expansion Method - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.10, October 2018

Journal of Applied Mathematics and Physics

Volume 6, Issue 10 (October 2018)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

The Traveling Wave Solutions of Space-Time Fractional Differential Equation Using Fractional Riccati Expansion Method ()

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DOI: 10.4236/jamp.2018.610167 849 Downloads 1,896 Views Citations

Author(s)

Xiaohua Liu

Affiliation(s)

School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, China.

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.

KEYWORDS

Conformable Fractional Derivative, The Chain Rule, Exact Solution, Fractional Riccati Expansion Method

Share and Cite:

Liu, X. (2018) The Traveling Wave Solutions of Space-Time Fractional Differential Equation Using Fractional Riccati Expansion Method. Journal of Applied Mathematics and Physics, 6, 1957-1967. doi: 10.4236/jamp.2018.610167.

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