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

页码：289 / 308

页数：20

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