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

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 Banach’s and Schaefer’s 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.