  In this article we establish a few Lyapunov-type inequalities for two-point
discrete fractional boundary value problems involving Riemann-Liouville type
backward differences. To illustrate the applicability of established results,
we obtain criteria for the nonexistence of nontrivial solutions and estimate
lower bounds for eigenvalues of the corresponding eigenvalue problems. We also
apply these inequalities to deduce criteria for the nonexistence of real zeros
of certain discrete Mittag-Leffler functions.
