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

Wei Li, Huizhang Yang and Bin He

Mathematical Problems in Engineering, 2014, vol. 2014, 1-9

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:104069

DOI: 10.1155/2014/104069

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