Arab, ZinebTunc, Cemil2025-05-102025-05-1020221658-365510.1080/16583655.2022.21195872-s2.0-85140586017https://doi.org/10.1080/16583655.2022.2119587https://hdl.handle.net/20.500.14720/9982Tunc, Cemil/0000-0003-2909-8753In the current work, we deal with a class of stochastic time-fractional integral equations in Hilbert space by studying their well-posedness and regularity. Precisely, we use the celebrity fixed point theorem to prove the well-posedness of the problem by imposing the global Lipschitz and the linear growth conditions. Further, we prove the spatial and temporal regularity by imposing only a regularity condition on the initial value. An important example is considered in order to confirm and support the validity of our theoretical results.eninfo:eu-repo/semantics/openAccessIntegral EquationsRiemann-Liouville Integral OperatorCylindrical Wiener ProcessFixed Point TheoremSpatial RegularityTemporal RegularityArticle161Q2Q1788798WOS:000852984700001