Controllability of fractional neutral stochastic functional differential systems

In this paper, we study a class of fractional neutral stochastic functional differential systems. We obtain the controllability of the stochastic functional differential systems by the Sadovskii’s fixed point theorem under some suitable assumptions. An example is given to illustrate the theory.

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Bibliographic Details
Published inZeitschrift für angewandte Mathematik und Physik Vol. 65; no. 5; pp. 941 - 959
Main Authors Kexue, Li, Jigen, Peng
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.10.2014
Subjects
Engineering
Mathematical Methods in Physics
Theoretical and Applied Mechanics
Controllability
Stochastic differential system
Infinite delay
26A33
Fractional integral
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Summary:In this paper, we study a class of fractional neutral stochastic functional differential systems. We obtain the controllability of the stochastic functional differential systems by the Sadovskii’s fixed point theorem under some suitable assumptions. An example is given to illustrate the theory.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-013-0369-2