@article{Turan2026, 
author = {Nihan Turan and Metin Başarır},
title = {Analysis of existence and stability in a fractional-order    q-difference model},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {7},
pages = {4749-4764},
keywords = {q-calculus, Caputo fractional derivative, fixed point theorems, Ulam-Hyers stability, Ulam-Hyers-Rassias stability},
url = {https://www.sciopen.com/article/10.3934/era.2026209},
doi = {10.3934/era.2026209},
abstract = {In this article, our main aim is to explore the existence and uniqueness of solutions for a fractional-order    q-equation under a    q-integral boundary condition. Employing well-known fixed point theorems, we derive theoretical findings that advance the theory of    q-fractional calculus. An example is provided to show the effectiveness of the results, and the stability of the solutions is discussed.}
}