Kasinathan, RavikumarBaleanu, DumitruAnnamalai, AngurajKasinathan, Ramkumar2022-05-162025-09-182022-05-162025-09-182021Kasinathan, Ramkumar; Baleanu, Dumitru; Annamalai, Anguraj (2021). "Hilfer fractional neutral stochastic differential equations with non-instantaneous impulses", AIMS Mathematics, Vol. 6, No. 5, pp. 4474-4491.2473-6988https://doi.org/10.3934/math.2021265https://hdl.handle.net/20.500.12416/12706The aim of this manuscript is to investigate the existence of mild solution of Hilfer fractional neutral stochastic differential equations (HFNSDEs) with non-instantaneous impluses. We establish a new criteria to guarantee the sufficient conditions for a class of HFNSDEs with non-instantaneous impluses of order 0 < beta < 1 and type 0 <= alpha <= 1 is derived with the help of semigroup theory and fixed point approach, namely Monch fixed point theorem. Finally, a numerical example is provided to validate the theoretical results.eninfo:eu-repo/semantics/openAccessExistenceNon-Instantaneous Impulsive EquationHilfer Fractional Stochastic SystemSemigroup TheoryMonch Fixed Point TheoremArticle10.3934/math.20212652-s2.0-85101279350