Browsing by Author "Kerboua, Mourad"

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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.
Citation - WoS: 29
Citation - Scopus: 32
Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces
(Hindawi Ltd, 2013) Debbouche, Amar; Baleanu, Dumitru; Kerboua, Mourad
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.