A note on existence and exact controllability of fractional stochastic system with finite delay

International Journal of Dynamics and Control(2024)

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摘要
This paper is concerned with the existence and exact controllability results for a class of nonlocal stochastic fractional differential equation employed with finite delay in a separable Hilbert space. The results are derived by utilizing the measure of noncompactness, semigroup theory, Monch’s condition, and the stochastic analysis approaches. We include an example at the end to illustrate our main findings.
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关键词
Fractional stochastic systems,Controllability,Monch’s condition,Semigroup theory,Nonlocal condition,Measure of noncompactness
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