Space-time fractional diffusion on bounded domains
Probability
2016-12-19 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
Fractional diffusion equations replace the integer-order derivatives in space and time by their fractional-order analogues. They are used in physics to model anomalous diffusion. This paper develops strong solutions of space-time fractional diffusion equations on bounded domains, as well as probabilistic representations of these solutions, which are useful for particle tracking codes.
Cite
@article{arxiv.1109.2881,
title = {Space-time fractional diffusion on bounded domains},
author = {Zhen-Qing Chen and Mark M. Meerschaert and Erkan Nane},
journal= {arXiv preprint arXiv:1109.2881},
year = {2016}
}
Comments
15 pages, submitted for publication