Approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions

摘要

In this paper, the approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions and infinite delay in Hilbert spaces is studied. By using the Krasnoselskii-Schaefer-type fixed point theorem and stochastic analysis theory, some sufficient conditions are given for the approximate controllability of the system. At the end, an example is given to illustrate the application of our result. MSC: 65C30, 93B05, 34K40, 34K45.