This article investigates the uniqueness of identifying the fractional-order, potential, and Robin coefficient simultaneously in one-dimensional time-fractional diffusion equation with non-homogeneous boundary condition. By using one boundary measurement, we prove that the fractional-order, potential on the entire interval, and Robin coefficient are determined simultaneously from asymptotic properties of the Mittag-Leffler function and the Marchenko’s uniqueness theorem.

中文翻译：

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时间分数阶扩散方程中反问题的同时唯一性

本文研究了在具有非均匀边界条件的一维时间-分数扩散方程中同时识别分数阶，势和罗宾系数的唯一性。通过使用一种边界测量，我们证明了分数阶，整个区间的电势和Robin系数是根据Mittag-Leffler函数的渐近性质和Marchenko唯一定理同时确定的。