INTERVAL-TYPE CRITERIA OF LIMIT-POINT CASE FOR CONFORMABLE FRACTIONAL STURM-LIOUVILLE OPERATORS

Abstract

In this paper, the classification of limit-point case and limit-circle case for the 2<i>α</i>-order conformable fractional Sturm-Liouville operator<br/>${\ell _\alpha }(y) = - {T_\alpha }(p{T_\alpha }y) + qy,x \in [a,\infty ),a > 0$<br/>is considered. Two interval criteria of limit-point case in the frame of conformable fractional derivatives are obtained. Examples illustrating the main results are presented.