Inverse problems for a conformable fractional Sturm-Liouville operator

In this paper, a Sturm-Liouville boundary value problem which includes conformable fractional derivatives of order a, 0 <= alpha <= 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.