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Nonlocal Boundary Value Problems of Nonlinear Fractional (p,q)-Difference Equations
Journal article   Open access  Peer reviewed

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

Pheak Neang, Kamsing Nonlaopon, Jessada Tariboon, Sotiris K. Ntouyas and Bashir Ahmad
Fractal and fractional, Vol.5(4), p.270
01/12/2021

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
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 illustrating the main results are also presented.
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https://doi.org/10.3390/fractalfract5040270View
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