Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Fractional Evolution Equations

作者：Jafari H^*; Tajadodi H; Baleanu D

来源：Journal of Computational and Nonlinear Dynamics, 2014, 9(2): 021019.

DOI：10.1115/1.4025770

• Backlund transformation
• fractional Fan subequation
• fractional evolution equations

The fractional Fan subequation method of the fractional Riccati equation is applied to construct the exact solutions of some nonlinear fractional evolution equations. In this paper, a powerful algorithm is developed for the exact solutions of the modified equal width equation, the Fisher equation, the nonlinear Telegraph equation, and the Cahn-Allen equation of fractional order. Fractional derivatives are described in the sense of the modified Riemann-Liouville derivative. Some relevant examples are investigated.

• 出版日期2014-4