Adiguzel, Rezan SevinikAksoy, UmitKarapinar, ErdalErhan, Inci M.Mathematics2024-10-062024-10-0620211231683-35111683-6154[WOS-DOI-BELIRLENECEK-47]https://hdl.handle.net/20.500.14411/8966Erhan, Inci M./0000-0001-6042-3695The aim of this article is twofold. Firstly, to study fixed points of mappings on b metric spaces satisfying a general contractive condition called Geraghty type hybrid contraction. Secondly, to apply the theoretical results to the problem of existence and uniqueness of solutions of boundary value problems with integral boundary conditions associated with a certain type of nonlinear fractional differential equations. The conditions for the existence of fixed points for Geraghty type hybrid contractions are determined and several consequences of the main results are deduced. Some examples on boundary value problems for nonlinear fractional differential equations of order 3 < alpha <= 4 are provided, where the existence and uniqueness of solutions are shown by using Geraghty type contractions.eninfo:eu-repo/semantics/closedAccessFixed Pointb-Metric SpaceFractional Differential EquationsArticleQ1Q1202313333WOS:000696897900007