1.Center for Nonlinear Studies,Northwest University,Xi’an,China;2.Department of Mathematics,Northwest University,Xi’an,China;3.Department of Applied Mathematics,Zhejiang University of Technology,Hangzhou,China
Abstract:
In this paper, Lie point symmetry group of the Harry-Dym type equation with Riemann-Liouville fractional derivative is constructed. Then complete subgroup classification is obtained by means of the optimal system method. Finally, corresponding group-invariant solutions with reduced fractional ordinary differential equations are presented via similarity reductions.