Approximate controllability of Sobolev-type fractional functional stochastic integro-differential systems

被引：0
|
作者：
Guendouzi, Toufik [1 ]
Farahi, Souad [1 ]
机构：
[1] Tahar Moulay Univ, Lab Stochast Models Stat & Applicat, POB 138, Saida 20000, Algeria
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2015年 / 21卷 / 02期
关键词：
Approximate controllability; Fractional derivatives; Stochastic functional differential equations; Fixed point theorem; Characteristic solution operators;
D O I：
10.1007/s40590-015-0056-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the approximate controllability of Sobolev-type fractional functional stochastic differential systems in Hilbert spaces. Using Schauder fixed point theorem, stochastic analysis theory and characteristic solutions operators, we derive a new set of sufficient conditions for the approximate controllability of fractional functional Sobolev-type stochastic integro-differential system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the obtained theory.
引用
收藏
页码：289 / 308
页数：20
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