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

Kerboua Mourad | Zendy; Amar Debbouche | Zendy; Dumitru Băleanu | Zendy

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

Author(s) -

Kerboua Mourad,

Amar Debbouche,

Dumitru Băleanu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/262191

Subject(s) - mathematics , controllability , sobolev space , hilbert space , type (biology) , fractional calculus , class (philosophy) , set (abstract data type) , pure mathematics , mathematical analysis , ecology , artificial intelligence , computer science , biology , programming language

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

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