Sevinik-Adiguzel, RezanAksoy, UmitKarapinar, ErdalErhan, Inci M.Mathematics2024-07-052024-07-0520211578-73031579-150510.1007/s13398-021-01095-32-s2.0-85108978294https://doi.org/10.1007/s13398-021-01095-3https://hdl.handle.net/20.500.14411/2001ERHAN, INCI M./0000-0001-6042-3695; KARAPINAR, ERDAL/0000-0002-6798-3254This 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 equationsArticleQ1Q11153WOS:000667694800001106