A self-similar solution to time-fractional Stefan problem
Analysis of PDEs
2020-10-27 v2
Abstract
We derive the fractional version of one-phase one-dimensional Stefan model. We assume that the diffusive flux is given by the time-fractional Riemann-Liouville derivative, i.e. we impose the memory effect in the examined model. Furthermore, we find a special solution to this problem.
Cite
@article{arxiv.2006.10563,
title = {A self-similar solution to time-fractional Stefan problem},
author = {Adam Kubica and Katarzyna Ryszewska},
journal= {arXiv preprint arXiv:2006.10563},
year = {2020}
}