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Separate Fractional (p,q)-Integrodifference Equations via Nonlocal Fractional (p,q)-Integral Boundary Conditions

Authors :
Sotiris K. Ntouyas
Thongchai Dumrongpokaphan
Thanin Sitthiwirattham
Source :
Symmetry, Vol 13, Iss 2212, p 2212 (2021), Symmetry, Volume 13, Issue 11
Publication Year :
2021
Publisher :
MDPI AG, 2021.

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 fixed-point 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.

Details

Language :
English
ISSN :
20738994
Volume :
13
Issue :
2212
Database :
OpenAIRE
Journal :
Symmetry
Accession number :
edsair.doi.dedup.....7960db6b245b5026253455b846a11945