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

Boundary value problems

Yanchao Zang¹  Junping Li¹ 

[1] School of Mathematics and Statistics, Central South University, Changsha, P.R. China

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

DOI  :  10.1186/1687-2770-2013-193

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY