Baleanu, DumitruKandasamy, BanupriyaKasinathan, RamkumarKasinathan, RavikumarSandrasekaran, Varshini2023-12-292025-09-182023-12-292025-09-182023Baleanu, D.;...et.al. (2023). "Hyers-Ulam Stability Of Fractional Stochastic Differential Equations With Random Impulse", Communications of the Korean Mathematical Society, Vol.38, No.3, pp.967-982.1225-17632234-3024https://doi.org/10.4134/CKMS.c220231https://hdl.handle.net/20.500.12416/10387The goal of this study is to derive a class of random impulsive non-local 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 StabilityArticle10.4134/CKMS.c2202312-s2.0-85168595900