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

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

E. K. Lenzi, M. K. Lenzi, L. R. Evangelista, L. C. Malacarne, R. S. Mendes, Journal of Statistical Mechanics: Theory and Experiment 2009, P02048 (2009). PDF | DOI

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.