Turan, NihanBaşarır, Metin2026-11-032026-11-032026Turan, Nihan, Başarır, Metin. (2026). Analysis of existence and stability in a fractional-order q-difference model. AIMS Press.https://www.doi.org/10.3934/era.2026209https://hdl.handle.net/20.500.12662/10896In 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.info:eu-repo/semantics/openAccess10.3934/era.2026209Q1