Lie group classifications and exact solutions for time-fractional Burgers equation
arXiv:1011.3692 · doi:10.1088/0253-6102/55/6/23
Abstract
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations. A time-fractional Burgers equation is used as an example to illustrate the effectiveness of the Lie group method and some classes of exact solutions are obtained.
9 pp, accepted