Scopus İndeksli Yayınlar Koleksiyonu

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Author: search.filters.author.Debbouche, AmarPublisher: search.filters.publisher.Univ Szeged, Bolyai institute

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  • Article
    Citation - WoS: 22
    Citation - Scopus: 30
    Approximate Controllability of Sobolev Type Fractional Stochastic Nonlocal Nonlinear Differential Equations in Hilbert Spaces
    (Univ Szeged, Bolyai institute, 2014) Debbouche, Amar; Baleanu, Dumitru; Kerboua, Mourad
    We introduce a new notion called fractional stochastic nonlocal condition, and then we study approximate controllability of class of fractional stochastic nonlinear differential equations of Sobolev type in Hilbert spaces. We use Holder's inequality, 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 is formulated and proved for the fractional stochastic control system to be approximately controllable. An example is given to illustrate the abstract results.