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Mathematical Problems in Engineering
Volume 2014, Article ID 104069, 9 pages
Research Article

Exact Solutions of Fractional Burgers and Cahn-Hilliard Equations Using Extended Fractional Riccati Expansion Method

College of Mathematics of Honghe University, Mengzi, Yunnan 661100, China

Received 13 February 2014; Accepted 18 May 2014; Published 10 June 2014

Academic Editor: Miguel A. F. Sanjuan

Copyright © 2014 Wei Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Based on a general fractional Riccati equation and with Jumarie’s modified Riemann-Liouville derivative to an extended fractional Riccati expansion method for solving the time fractional Burgers equation and the space-time fractional Cahn-Hilliard equation, the exact solutions expressed by the hyperbolic functions and trigonometric functions are obtained. The obtained results show that the presented method is effective and appropriate for solving nonlinear fractional differential equations.