Abstract In this paper, a Sturm–Liouville boundary value problem which includes conformable fractional derivatives of order α, 0 < α ≤ 1 {0<\alpha\leq 1} is considered. We give some uniqueness theorems for the solutions of inverse problems according to the Weyl function, two given spectra and classical spectral data. We also study the half-inverse problem and prove a Hochstadt–Lieberman-type theorem.

中文翻译：

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适形分数 Sturm-Liouville 算子的逆问题

摘要 在本文中，考虑了一个 Sturm-Liouville 边值问题，该问题包括阶 α, 0 < α ≤ 1 {0<\alpha\leq 1} 的可合分数阶导数。我们根据Weyl函数、两个给定的谱和经典谱数据给出了逆问题解的一些唯一性定理。我们还研究了半逆问题并证明了 Hochstadt-Lieberman 型定理。