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

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 h...

Full description

Saved in:
Bibliographic Details
Main Authors: E. A.-B. Abdel-Salam, E. A. Yousif, Y. A. S. Arko, E. A. E. Gumma
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/218092
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1110-757X
1687-0042