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Inverse problems for fractional equations with a minimal number of measurements

Inverse problems for fractional equations with a minimal number of measurements

In this paper, we study several inverse problems associated with a fractional differential equation of the following form: \begin{document}$ (-\Delta)^s u(x)+\sum\limits_{k = 0}^N a^{(k)}(x) [u(x)]^k = 0, \ \ 0<s<1, \ N\in\mathbb{N}\cup\{0\}\cup\{\infty\}, $\end{document} which is given in a bounded domain $ \Omega\subset\mathbb{R}^n $, $ n\geq 1 $. For any finite …