A Lyapunov-type inequality for a fractional boundary value problem

Abstract

In this work we obtain a Lyapunov-type inequality for a fractional differential equation subject to Dirichlet-type boundary conditions. Moreover, we apply this inequality to deduce a criteria for the nonexistence of real zeros of a certain Mittag-Leffler function. © 2013 Versita Warsaw and Springer-Verlag Wien.