Existence and uniqueness of time-fractional diffusion equation on a metric star graph
Analysis of PDEs
2020-04-20 v1
Abstract
In this paper, we study the time-fractional diffusion equation on a metric star graph. The existence and uniqueness of the weak solution are investigated and the proof is based on eigenfunction expansions. Some priori estimates and regularity results of the solution are proved.
Keywords
Cite
@article{arxiv.2004.07933,
title = {Existence and uniqueness of time-fractional diffusion equation on a metric star graph},
author = {Vaibhav Mehandiratta and Mani Mehra and Gunter Leugering},
journal= {arXiv preprint arXiv:2004.07933},
year = {2020}
}
Comments
17 pages manuscript including 1 figure