%0 Journal Article %T A Lyapunov-type inequality for a fractional q-difference boundary value problem %A Jleli, Mohamed %A Samet, Bessem %J Journal of Nonlinear Sciences and Applications %D 2016 %V 9 %N 5 %@ ISSN 2008-1901 %F Jleli2016 %X In this paper, we establish a Lyapunov-type inequality for a fractional q-difference equation subject to Dirichlet-type boundary conditions. The obtained inequality generalizes several existing results from the literature including the standard Lyapunov inequality. We use that result to provide an interval, where a certain Mittag-Leffler function has no real zeros. We present also another application of the obtained inequality, where we prove that existence implies uniqueness for a certain class of fractional q-difference boundary value problems. %9 journal article %R 10.22436/jnsa.009.05.03 %U http://dx.doi.org/10.22436/jnsa.009.05.03 %P 1965--1976