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

Baleanu, DumitruKerboua, MouradDebbouche, AmarBaleanu, Dumitru2020-04-032020-04-032013Kerboua, Mourad; Debbouche, Amar; Baleanu, Dumitru, "Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces", Abstract and Applied Analysis, (2013)1687-04091085-3375https://hdl.handle.net/20.500.12416/2910We 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.eninfo:eu-repo/semantics/openAccessEvolution-EquationsMild SolutionsApproximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems In Hilbert SpacesApproximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert SpacesArticle10.1155/2013/262191