Solutions For A Generalized Fractional Anomalous Diffusion Equation
Mathematical Physics
2012-01-12 v1 math.MP
Abstract
In this paper, we investigate the solutions for a generalized fractional diffusion equation that extends some known diffusion equations by taking a spatial time-dependent diffusion coefficient and an external force into account, which subjects to the natural boundaries and the generic initial condition. We obtain explicit analytical expressions for the probability distribution and study the relation between our solutions and those obtained within the maximum entropy principle by using the Tsallis entropy.
Cite
@article{arxiv.1201.2266,
title = {Solutions For A Generalized Fractional Anomalous Diffusion Equation},
author = {Long-jin Lv and Jian-Bin Xiao and Lin Zhang},
journal= {arXiv preprint arXiv:1201.2266},
year = {2012}
}
Comments
10 pages, LaTeX, 3 figures