Symmetry Classification and Exact Solutions of a Variable Coefficient   Nonlinear Space-Time Fractional Burgers' Equation
  In this paper, we investigate the symmetry properties of a variable coefficient nonlinear space-time fractional Burgers' equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained. With the help of the infinitesimal generators some group invariant solutions are deduced. Further, some exact solutions of fractional Burgers' equation are generated by the invariant subspace method. 
Manoj Gaur and K. Singh
math.AP