Fractional diffusion equation with the distributed order Caputo derivative
Analysis of PDEs
2018-02-08 v3
Abstract
We consider fractional diffusion equation with the distributed order Caputo derivative. We prove existence of a weak and regular solution for general uniformly elliptic operator under the assumption that the weight function is only integrable.
Cite
@article{arxiv.1706.05591,
title = {Fractional diffusion equation with the distributed order Caputo derivative},
author = {Adam Kubica and Katarzyna Ryszewska},
journal= {arXiv preprint arXiv:1706.05591},
year = {2018}
}