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Approximate controllability of Sobolev-type fractional functional stochastic integro-differential systems

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Abstract

We discuss the approximate controllability of Sobolev-type fractional functional stochastic differential systems in Hilbert spaces. Using Schauder fixed point theorem, stochastic analysis theory and characteristic solutions operators, we derive a new set of sufficient conditions for the approximate controllability of fractional functional Sobolev-type stochastic integro-differential system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the obtained theory.

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Authors and Affiliations

  1. Laboratory of Stochastic Models, Statistic and Applications, Tahar Moulay University, En-Nasr, PO Box 138, 20000, Saida, Algeria

    Toufik Guendouzi & Souad Farahi

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  1. Toufik Guendouzi
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  2. Souad Farahi
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Correspondence to Toufik Guendouzi.

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Guendouzi, T., Farahi, S. Approximate controllability of Sobolev-type fractional functional stochastic integro-differential systems. Bol. Soc. Mat. Mex. 21, 289–308 (2015). https://doi.org/10.1007/s40590-015-0056-8

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  • DOI: https://doi.org/10.1007/s40590-015-0056-8

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