| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4641562 | Journal of Computational and Applied Mathematics | 2009 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Long-Jin Lv, Jian-Bin Xiao, Lin Zhang, Lei Gao,