Solutions for a fractional nonlinear diffusion equation with external force and absorbent term

Abstract

We devote this work to investigate the solutions of a N-dimensional nonlinear fractional diffusion equation which emerges from the continuity equation by considering a nonlinear fractional generalization of Darcy law and incorporating an absorbent term. The solutions obtained show a nonusual spreading of the distribution and a compact or long tail behavior which can be related to the anomalous diffusion.