Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions

In this paper, we discuss the existence of positive solutions for a nonlocal q-integral boundary value problems of fractional q-difference equations. By applying the generalized Banach's contraction principle, monotone iterative method, and Krasnoselskii's fixed point theorem, some existence results of positive solutions are obtained. In addition, some examples to illustrate our results are given.