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

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 hyper...

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Bibliographic Details
Published in:Mathematical problems in engineering 2014-01, Vol.2014 (2014), p.1-9
Main Authors: Li, Wei, He, Bin, Yang, Huizhang
Format: Article
Language:English
Subjects:
Burgers equation
Derivatives
Differential equations
Engineering
Exact solutions
Expansion
Fractional calculus
Hyperbolic functions
Mathematical analysis
Methods
Nonlinearity
Ordinary differential equations
Riccati equation
Trigonometric functions
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2014/104069