Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations

In this paper, we study a nonlinear fractional q-difference equation with nonlocal boundary conditions. The existence of solutions for the problem is shown by applying some well-known tools of fixed-point theory such as Banach’s contraction principle, Krasnoselskii’s fixed-point theorem, and the Leray-Schauder nonlinear alternative. Some illustrating examples are also discussed.MSC:34A08, 39A05, 39A12, 39A13.

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