In this paper, we provide a different uniqueness results for inverse spectral problems of conformable fractional SturmLiouville operators of order α (0 < α ≤ 1), with a jump and eigenparameter dependent boundary conditions. Further, we study the asymptotic form of solutions, eigenvalues and the corresponding eigenfunctions of the problem. Also, we consider three terms of the inverse problem, from the Weyl function, the spectral data and two spectra. Moreover, we can also extend Hald’s theorem to the problem.
