Separate fractional (P, q)-integrodifference equations via nonlocal fractional (p, q)-integral boundary conditions

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2021
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MDPI
Journal Title
Separate fractional (P, q)-integrodifference equations via nonlocal fractional (p, q)-integral boundary conditions
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Abstract
In this paper, we study a boundary value problem involving (p, q)-integrodifference equations, supplemented with nonlocal fractional (p, q)-integral boundary conditions with respect to asymmetric operators. First, we convert the given nonlinear problem into a fixed-point problem, by considering a linear variant of the problem at hand. Once the fixed-point operator is available, existence and uniqueness results are established using the classical BanachÕs and SchaeferÕs fixedpoint theorems. The application of the main results is demonstrated by presenting numerical examples. Moreover, we study some properties of (p, q)-integral that are used in our study. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
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