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Nonlocal Boundary Value Problems of Nonlinear Fractional (p,q)-Difference Equations

Nonlocal Boundary Value Problems of Nonlinear Fractional (p,q)-Difference Equations

In this paper, we study nonlinear fractional (p,q)-difference equations equipped with separated nonlocal boundary conditions. The existence of solutions for the given problem is proven by applying Krasnoselskii’s fixed-point theorem and the Leray–Schauder alternative. In contrast, the uniqueness of the solutions is established by employing Banach’s contraction mapping principle. Examples …