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

被引:0
作者
Abdeldjalil Slama [1 ,2 ]
Ahmed Boudaoui [1 ]
机构
[1] Dept of Math and Computer Science,University of Adrar
[2] Dept of Probability and Statistics,USTHB
关键词
approximate controllability; fixed point principle; fractional impulsive neutral stochastic integro-differential equations; mild solution; nonlocal conditions;
D O I
暂无
中图分类号
O211.63 [随机微分方程];
学科分类号
020208 ; 070103 ; 0714 ;
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.
引用
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页码:127 / 139
页数:13
相关论文
共 10 条
[1]  
Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions[J] . NI Mahmudov,S Zorlu. Boundary Value Problems . 2013 (1)
[2]  
Approximate controllability of some nonlinear systems in Banach spaces[J] . Nazim I Mahmudov. Boundary Value Problems . 2013 (1)
[3]  
Existence of solutions for nonlinear fractional stochastic differential equations[J] . R. Sakthivel,P. Revathi,Yong Ren. Nonlinear Analysis . 2012
[4]  
Approximate controllability of fractional stochastic evolution equations[J] . R. Sakthivel,S. Suganya,S.M. Anthoni. Computers and Mathematics with Applications . 2011 (3)
[5]   Approximate controllability of semilinear partial functional differential systems [J].
Fu, Xianlong ;
Mei, Kaidong .
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2009, 15 (03) :425-443
[6]  
Existence of mild solutions for fractional neutral evolution equations[J] . Yong Zhou,Feng Jiao. Computers and Mathematics with Applications . 2009 (3)
[7]  
Existence of solutions for semilinear neutral stochastic functional differential equations with nonlocal conditions[J] . P. Balasubramaniam,J.Y. Park,A. Vincent Antony Kumar. Nonlinear Analysis . 2008 (3)
[8]   Controllability of linear stochastic systems in Hilbert spaces [J].
Mahmudov, NI .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 259 (01) :64-82
[9]   On controllability of linear stochastic systems [J].
Mahmudov, NI ;
Denker, A .
INTERNATIONAL JOURNAL OF CONTROL, 2000, 73 (02) :144-151
[10]  
Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space[J] . Ludwik Byszewski,V. Lakshmikantham. Applicable Analysis . 1991 (1)