Berrighi, FatmaMedjadj, ImeneKarapinar, Erdal2026-01-052026-01-0520251223-7027https://hdl.handle.net/20.500.14411/11070Our mission is to demonstrate the existence, uniqueness, attractiveness, and controllability of mild solutions to neutral conformable fractional-order functional evolution equations, specifically of order between 1 and 2. These intriguing equations encompass finite delay, all while adhering to local conditions within a separable Banach space. By invoking Meir-Keeler's fixed-point Theorem and enhancing it with measures of noncompactness, we establish the existence of these solutions. To highlight the potency of our approach, we present a captivating example.eninfo:eu-repo/semantics/closedAccessNeutral Functional Differential EquationMild SolutionFinite DelayInfinite DelayFixed PointCondensing OperatorMeasure of NoncompactnessConformable FractionalArticle