  The time-fractional convection-diffusion equation is performed by Lie
symmetry analysis method which involves the Riemann-Liouville time-fractional
derivative of the order $\alpha\in(0,2)$. In eight cases, the symmetries are
obtained and similarity reductions of the equation are deduced by means of
symmetry. It is shown that the fractional equation can be reduced into
fractional ordinary differential equations. Some group invariant solutions in
explicit form are obtained in some cases.
