Abstract
In this paper, we consider a class of space-time fractional inhomogeneous nonlinear diffusion equations with Riemann-Liouville fractional derivative. Symmetry group method is applied to derive explicit solutions of the governing equation from the reduced fractional ordinary differential equations. Conservation laws admitted by the space-time fractional inhomogeneous nonlinear diffusion equations are obtained with the aid of the nonlinear self-adjointness method.
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