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arXiv · 2209.03767

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

Zhiyuan Li·Xinchi Huang·Yikan Liu
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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.

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Zhiyuan Li, Xinchi Huang, Yikan Liu. 2022-09-08. Initial-boundary value problems for coupled systems of time-fractional diffusion equations. https://doi.org/10.1007/s13540-023-00149-0

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