Open Access Research

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

Yanchao Zang* and Junping Li

Author Affiliations

School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410075, P.R. China

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Boundary Value Problems 2013, 2013:193  doi:10.1186/1687-2770-2013-193

Published: 28 August 2013

Abstract

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.

Keywords:
approximate controllability; fixed point principle; fractional impulsive neutral stochastic differential equations; mild solution; nonlocal conditions