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Separate Fractional (p,q)-Integrodifference Equations via Nonlocal Fractional (p,q)-Integral Boundary Conditions
- 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.
- Subjects :
- nonlocal boundary value problems
Physics and Astronomy (miscellaneous)
General Mathematics
Mathematical analysis
MathematicsofComputing_GENERAL
existence
Nonlinear system
Operator (computer programming)
Chemistry (miscellaneous)
Computer Science (miscellaneous)
QA1-939
Boundary value problem
Uniqueness
fractional (p,q)-integral
Mathematics
fractional (p,q)-difference
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 13
- Issue :
- 2212
- Database :
- OpenAIRE
- Journal :
- Symmetry
- Accession number :
- edsair.doi.dedup.....7960db6b245b5026253455b846a11945