Approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps

被引:0
作者
A. Anguraj
K. Ravikumar
Dumitru Baleanu
机构
[1] PSG College of Arts and Science,Department of Mathematics
[2] Cankaya University,Department of Mathematics
[3] Institute of Space Sciences,undefined
来源
Advances in Difference Equations | / 2020卷
关键词
Approximate controllability; Mild solutions; Impulsive systems; Poisson jumps; 93C25; 34K30; 34K35;
D O I
暂无
中图分类号
学科分类号
摘要
The objective of this paper is to investigate the approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps in a Hilbert space. Nonlocal initial condition is a generalization of the classical initial condition and is motivated by physical phenomena. The results are obtained by using Sadovskii’s fixed point theorem. Finally, an example is provided to illustrate the effectiveness of the obtained result.
引用
收藏
相关论文
共 36 条
[1]  
Klamka J.(2013)Controllability of dynamical systems, a survey Bull. Pol. Acad. Sci., Tech. Sci. 61 221-229
[2]  
Anguraj A.(2018)Approximate controllability of semilinear stochastic integrodifferential system with nonlocal conditions Fractal Fract. 2 3498-3508
[3]  
Ramkumar K.(2013)Approximate controllability of nonlinear fractional dynamical systems Commun. Nonlinear Sci. Numer. Simul. 18 31-44
[4]  
Sakthivel R.(2007)Controllability of semilinear stochastic integrodifferential equations Kybernetika 43 486-491
[5]  
Ganesh R.(2007)Controllability of stochastic integrodifferential systems Int. J. Control 80 23-29
[6]  
Ren Y.(2007)Stochastic controllability of linear systems with delay in control Bull. Pol. Acad. Sci. 55 1535-1565
[7]  
Anthoni S.M.(2019)New results on exact controllability of a class of fractional neutral integrodifferential systems with state-dependent delay in Banach spaces J. Franklin Inst. 356 247-263
[8]  
Balachandran K.(2018)Controllability of stochastic impulsive neutral functional differential equations driven by fractional Brownian motion with infinite delay Differ. Equ. Dyn. Syst. 26 381-393
[9]  
Kim J.H.(2009)Approximate controllability of impulsive stochastic evolution equations Funkc. Ekvacioj 52 908-923
[10]  
Karthikeyan S.(2015)The general solution for impulsive differential equations with Riemann–Liouville fractional-order Open Math. 13 324-332