Solutions for a fractional nonlinear diffusion equation with external force and absorbentterm

Abstract

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