Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces

被引：27

作者：

Kerboua, Mourad ^{[1
]}

Debbouche, Amar ^{[1
]}

Baleanu, Dumitru ^{[2
,3
,4
]}

机构：

[1] Guelma Univ, Dept Math, Guelma 24000, Algeria

[2] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia

[3] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[4] Inst Space Sci, Bucharest, Romania

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

EVOLUTION-EQUATIONS; MILD SOLUTIONS;

D O I：

10.1155/2013/262191

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of fractional stochastic dynamic control systems of Sobolev type in Hilbert spaces. We use fixed point technique, fractional calculus, stochastic analysis, and methods adopted directly from deterministic control problems for the main results. A new set of sufficient conditions for approximate controllability is formulated and proved. An example is also given to provide the obtained theory.

引用

页数：10

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