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Relatively exact controllability of fractional stochastic delay system driven by Lévy noise
  • Jizhao Huang,
  • Danfeng Luo
Jizhao Huang
Guizhou University

Corresponding Author:[email protected]

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Danfeng Luo
Guizhou University
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Abstract

In this article, we consider the relatively exact controllability of fractional stochastic delay system (FSDS) driven by Lévy noise. Firstly, we derive the solution of linear FSDS via delayed matrix functions of Mittag-Leffler (M-L). Subsequently, by virtue of the controllability Grammian matrix, we explore the relatively exact controllability of linear FSDS. In addition, with the aid of Jensen’s inequality, Hölder’s inequality and Itô’s isometry, the existence and uniqueness of the considered nonlinear FSDS are investigated by employing Banach contraction principle.Thereafter, the relatively exact controllability of nonlinear FSDS is discussed. Finally, the theoretical results are supported through an example.
11 May 2022Submitted to Mathematical Methods in the Applied Sciences
12 May 2022Submission Checks Completed
12 May 2022Assigned to Editor
17 May 2022Reviewer(s) Assigned
22 Jan 2023Review(s) Completed, Editorial Evaluation Pending
23 Jan 2023Editorial Decision: Revise Major
07 Feb 20231st Revision Received
08 Feb 2023Submission Checks Completed
08 Feb 2023Assigned to Editor
08 Feb 2023Review(s) Completed, Editorial Evaluation Pending
11 Feb 2023Reviewer(s) Assigned
18 Feb 2023Editorial Decision: Accept