Aksoy, UmitKarapinar, ErdalErhan, Inci M.Sevinik-Adiguzel, Rezan2023-02-102025-09-182023-02-102025-09-182021Sevinik-Adıgüzel, Rezan...et al. (2021). "Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions", Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 115, No.3.1578-73031579-1505https://doi.org/10.1007/s13398-021-01095-3https://hdl.handle.net/20.500.12416/10758Erhan, Inci M./0000-0001-6042-3695This study is devoted to the development of alternative conditions for existence and uniqueness of nonlinear fractional differential equations of higher-order with integral and multi-point boundary conditions. It uses a novel approach of employing a fixed point theorem based on contractive iterates of the integral operator for the corresponding fixed point problem. We start with developing an existence-uniqueness theorem for self-mappings with contractive iterate in a b-metric-like space. Then, we obtain the unique solvability of the problem under suitable conditions by utilizing an appropriate b-metric-like space.eninfo:eu-repo/semantics/closedAccessFixed PointB-Metric SpaceFractional Differential EquationsArticle10.1007/s13398-021-01095-32-s2.0-85108978294