Weak solutions of fractional differential equations in non cylindrical domain
Analysis of PDEs
2016-08-05 v2
Abstract
We study a time fractional heat equation in a noncylindrical domain. The problem is one-dimensional. We prove existence of properly defined weak solutions by means of the Galerkin approximation.
Keywords
Cite
@article{arxiv.1605.06775,
title = {Weak solutions of fractional differential equations in non cylindrical domain},
author = {Adam Kubica and Piotr Rybka and Katarzyna Ryszewska},
journal= {arXiv preprint arXiv:1605.06775},
year = {2016}
}