Sharp asymptotics in a fractional Sturm-Liouville problem

The current research of fractional Sturm-Liouville boundary value problems focuses on the qualitative theory and numerical methods, much progress has been recently achieved in both directions. objective this paper is to explore a different route, namely, construction explicit asymptotic approximations for solutions. As study case, we consider problem with left right Riemann-Liouville derivatives, which our analysis yields asymptotically sharp estimates sequence eigenvalues eigenfunctions.