Lie symmetry analysis and conservation laws for the time fractional generalized advection–diffusion equation.

In this paper, the Lie symmetry group method is employed to study the time fractional generalized advection–diffusion equation. The Lie symmetry algebra classification is established by considering three different cases. Next, the similarity reductions are performed, and some solutions including invariants are derived. Finally, conservation laws are successfully constructed using the symmetry generators. [ABSTRACT FROM AUTHOR]