Back to Search Start Over

Initial-boundary value problems for coupled systems of time-fractional diffusion equations

Authors :
Zhiyuan Li
Xinchi Huang
Yikan Liu
Publication Year :
2022
Publisher :
arXiv, 2022.

Abstract

This article deals with the initial-boundary value problem for a moderately coupled system of time-fractional diffusion equations. Defining the mild solution, we establish fundamental unique existence, limited smoothing property and long-time asymptotic behavior of the solution, which mostly inherit those of a single equation. Owing to the coupling effect, we also obtain the uniqueness for an inverse problem on determining all the fractional orders by the single point observation of a single component of the solution.<br />Comment: 24 pages

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....d9ca2972b516b70e74e8aa251cb7b3a7
Full Text :
https://doi.org/10.48550/arxiv.2209.03767