Inverse problems for a conformable fractional Sturm–Liouville operator

Abstract

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.