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- Title
Approximate controllability of impulsive fractional stochastic partial neutral integrodifferential inclusions with infinite delay.
- Authors
ZUOMAO YAN; XIUMEI JIA
- Abstract
In this article, the problem of approximate controllability for impulsive fractional stochastic partial neutral integrodifferential inclusions with infinite delay in a Hilbert space is investigated. By using the Hölder inequality, the analytic α-resolvent operator and fixed point strategy with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of an impulsive fractional stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an illustrative example is given to show the effectiveness of the obtained results.
- Subjects
INTEGRO-differential equations; HILBERT space; BANACH spaces; STOCHASTIC analysis; LINEAR systems
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 3, p779
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnv062