Existence of positive solutions for regular fractional Sturm-Liouville problems

Abstract

. In this article we investigate existence and nonexistence results for some regular frac- tional Sturm-Liouville problems. We fi nd the eigenvalues intervals of this problem may or may not have a positive solution. Some suf fi cient conditions for existence and nonexistence of posi- tive solutions are given. Further, we study some special properties of positive solutions. We give some examples at the end.