Solvability for nonlinear fractional q-difference equations with nonlocal conditions Online publication date: Tue, 23-Oct-2018
by Jufang Wang; Changlong Yu; Yanping Guo
International Journal of Modelling, Identification and Control (IJMIC), Vol. 30, No. 4, 2018
Abstract: In this paper, we study a class of nonlinear fractional q-difference equations boundary value problem. We obtain the existence and uniqueness of positive solutions for this problem by Banach's contraction mapping principle and Krasnoselskii's fixed point theorem on cone. Lastly, we give two examples to illuminate the use of the main results.
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