Symmetry Analysis and Conservation Laws for a Time-Fractional Generalized Porous Media Equation

The symmetry group method is applied to study a class of time-fractional generalized porous media equations with Riemann–Liouville fractional derivatives. All point groups and the corresponding optimal subgroups are determined. Then, similarity reduction performed given equation some explicit solutions derived. asymptotic behaviours for also discussed. Through concept nonlinear self-adjointness, conservation laws arising from admitted symmetries listed.