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arXiv · 1904.05501

Inverse Problems of Determining Sources of the Fractional Partial Differential Equations

Yikan Liu·Zhiyuan Li·Masahiro Yamamoto
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Abstract

In this chapter, we mainly review theoretical results on inverse source problems for diffusion equations with the Caputo time-fractional derivatives of order $α\in(0,1)$. Our survey covers the following types of inverse problems: 1. determination of time-dependent functions in interior source terms 2. determination of space-dependent functions in interior source terms 3. determination of time-dependent functions appearing in boundary conditions

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Yikan Liu, Zhiyuan Li, Masahiro Yamamoto. 2019-04-11. Inverse Problems of Determining Sources of the Fractional Partial Differential Equations. https://doi.org/10.1515/9783110571660-018

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