Distributed-order space-time fractional diffusions in bounded domains
Analysis of PDEs
2022-10-11 v1 Probability
Abstract
We provide explicit classical solutions and stochastic analogues for distributed-order space-time fractional diffusion equations on bounded domains with zero exterior boundary conditions. We also show that our results still hold when the mixing measure in the distributed-order time-derivative is singular.
Cite
@article{arxiv.2210.04116,
title = {Distributed-order space-time fractional diffusions in bounded domains},
author = {Ngartelbaye Guerngar and James McCormick},
journal= {arXiv preprint arXiv:2210.04116},
year = {2022}
}