Afshari, HojjatRasouli, HasanAhmadkhanlu, AsgharKarapinar, Erdal2026-02-052026-02-0520261387-39541744-505110.1080/13873954.2025.26062072-s2.0-105026753039https://doi.org/10.1080/13873954.2025.2606207https://hdl.handle.net/20.500.14411/11094In this research, we investigate the existence of positive solutions to the fractional q-differential equations under new specified boundary conditions. We employ the alpha-theta-contraction fixed point theorem to analyze our results. Additionally, several examples are provided to illustrate the main results.eninfo:eu-repo/semantics/openAccessExistence of Positive SolutionFractional Q-Differential EquationnGreen FunctionAlpha-Theta-ContractionArticle