Some spectral properties for fractional Sturm-Liouville operator

Résumé

This paper investigates the spectral properties of eigenvalues and eigenfunctions associated with the fractional Sturm–Liouville problem of Bessel type. It is demonstrated that the eigenvalues are real and that the eigenfunctions corresponding to distinct eigenvalues are orthogonal. Additionally, several properties of the fractional Bessel operator are explored.