Solving time-fractional diffusion equations with singular source term
Analysis of PDEs
2022-09-07 v1
Abstract
This article deals with time-fractional diffusion equations with time-dependent singular source term. Whenever the order of the time-fractional derivative is either multi-term, distributed or space-dependent, we prove that the system admits a unique weak solution enjoying a Duhamel representation, provided that the time-dependence of the source term is a distribution.
Keywords
Cite
@article{arxiv.2209.01628,
title = {Solving time-fractional diffusion equations with singular source term},
author = {Yavar Kian and Eric Soccorsi},
journal= {arXiv preprint arXiv:2209.01628},
year = {2022}
}