Article ID Journal Published Year Pages File Type
722629 IFAC Proceedings Volumes 2006 6 Pages PDF
Abstract

This work is devoted to investigate the solutions of a generalized diffusion equation which contains spatial fractional derivatives and nonlinear terms. The presence of external forces and absorbent terms is also considered. The solutions found here can have a compact or long tail behavior and, in particular, for the last case in the asymptotic limit, we relate these solutions to the Levy distributions. In addition, from the results presented here a rich class of diffusive processes, including normal and anomalous ones, can be obtained.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics