Turkish Journal of Mathematics
Author ORCID Identifier
İLKER GENÇTÜRK: 0000-0002-0492-939X
Abstract
In this research, we focus on investigating the existence of solutions for a q-integral boundary value problem associated with third-order nonlinear q-difference equations. To achieve this, we employ two fundamental mathematical tools: the Banach contraction principle and Krasnoselskii’s fixed point theorem, which provide the theoretical framework for our analysis. Furthermore, to illustrate the applicability and robustness of our results, we present and discuss several concrete examples that highlight the practical implications of the proposed methods.
DOI
10.55730/1300-0098.3621
Keywords
q -difference equation, q -integral boundary condition, fixed point, existence
First Page
727
Last Page
737
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
GENÇTÜRK, İ (2025). On the existence of solutions for nonlinear third-order q-difference equations with boundary conditions involving q-integrals. Turkish Journal of Mathematics 49 (6): 727-737. https://doi.org/10.55730/1300-0098.3621
