A NEW APPROACH FOR FINDING EXACT SOLUTIONS OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

作者：Feng, Qinghua^*

来源：University Politehnica of Bucharest Scientific Bulletin-series A-applied Mathematics and Physics, 2014, 76(4): 135-146.

• Fractional sub-equation method
• Fractional partial differential equations
• exact solutions
• Fractional complex transformation

In this paper, by introducing a new ansatz, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative. For illustrating the validity of this method, we apply it to the space-time fractional Whitham-Broer-Kaup (WBK) equations and the space-time fractional Fokas equation. As a result, some new exact solutions for them are successfully established..

• 出版日期2014
• 单位山东理工大学