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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 218092, 8 pages
Research Article

Solution of Moving Boundary Space-Time Fractional Burger’s Equation

1Department of Mathematics, Faculty of Science, Assiut University, New Valley Branch, El-Kharja 72511, Egypt
2Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia
3Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Khartoum, 11111 Khartoum, Sudan
4Department of Mathematics, Faculty of Science, Sudan University of Science and Technology, 11115 Khartoum, Sudan
5Department of Mathematics, Faculty of Applied and Pure Science, International University of Africa, 14415 Khartoum, Sudan

Received 5 March 2014; Accepted 13 August 2014; Published 11 September 2014

Academic Editor: Javier Oliver

Copyright © 2014 E. A.-B. Abdel-Salam 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.


The fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger’s equation is studied. The obtained solutions include generalized trigonometric and hyperbolic function solutions. Among these solutions, some are found for the first time. The linear and periodic moving boundaries for the kink solution of the Burger’s equation are presented graphically and discussed.