Varshini, S.Banupriya, K.Ramkumar, K.Ravikumar, K.Baleanu, D.2025-08-052025-08-0520220231-69860862-9544https://hdl.handle.net/20.500.12416/10326The goal of this study is to derive a class of random impulsive fractional stochastic differential equations with finite delay that are of Caputo-type. Through certain constraints, the existence of the mild solution of the aforementioned system are acquired by Kransnoselskii's fixed point theorem. Furthermore, through Ito isometry and Gronwall's inequality, the Hyers-Ulam stability of the reckoned system is evaluated using Lipschitz condition.eninfo:eu-repo/semantics/closedAccessExistenceStabilityRandom ImpulseFractional Stochastic Differential SystemKransnoselskii's Fixed Point TheoremHyers-Ulam StabilityArticle2-s2.0-85142622902