Peer-Reviewed Article March 3, 2013
Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions
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Published in: Advances in Difference Equations
Publisher: Springer Nature • Egypt • 1687-1839
Abstract
In this paper, we discuss the existence of positive solutions for nonlocal q-integral boundary value problems of fractional q-difference equations. By applying the generalized Banach contraction principle, the 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. MSC:39A13, 34B18, 34A08.