APPROXIMATE CONTROLLABILITY OF FRACTIONAL IMPULSIVE NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS AND INFINITE DELAY

• 作者: Abdeldjalil Slama Ahmed Boudaoui
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: approximate controllability fixed point principle FRACTIONAL IMPULSIVE NEUTRAL STOCHASTIC integro-differential equations mild solution nonlocal conditions
• 年，卷（期）: 2015,（2）
• 页码范围: 127-139
• 页数: 13页
• 分类号: O211.63

摘要

This paper is concerned with the approximate controllability of nonlinear fractional impulsive neutral stochastic integro-differential equations with nonlocal conditions and infinite delay in Hilbert spaces under the assumptions that the corresponding linear system is approximately controllable. By 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.