摘要：In this paper, we establish some Lyapunov-type inequalities for a class of linear and nonlinear fractional q-difference boundary value problems under Cauchy boundary conditions. As applications, we use the inequality to obtain an interval, where Mittag-Leffler function has no real zeros. In addition, we also derive nonexistence results for fractional q-difference boundary value problem.
关键词：Lyapunov inequality ; Boundary value problem ; Fractional q -difference equations ; q -Mittag-Leffler function
