Karapinar, E.Sevinik Adıgüzel, R.Aksoy, Ü.Erhan, İ.M.2025-07-062025-07-0620251683-351110.30546/1683-6154.24.2.2025.2352-s2.0-105006525641https://doi.org/10.30546/1683-6154.24.2.2025.235https://hdl.handle.net/20.500.14411/10674The object of this study is a boundary value problem associated with a q-difference equation of fractional order. The existence and uniqueness of a solution in the case of multi-point boundary conditions is studied from the viewpoint of fixed point theory. An integral equation equivalent to the boundary value problem is derived and the fixed points of the related integral operator are investigated by using a contractive condition involving a comparison function. The Ulam-Hyers stability of the problem is also discussed. Theoretical results are followed by a particular example. © 2025, Institute of Applied Mathematics of Baku State University. All rights reserved.eninfo:eu-repo/semantics/closedAccessBoundary Value ProblemComparison FunctionQ-Difference EquationsQuantum CalculusUlam-Hyers StabilityArticleQ1Q1242235249