loading page

Relatively exact controllability of fractional neutral stochastic system with two incommensurate constant delays
  • Danfeng Luo,
  • Yihong Yuan
Danfeng Luo
Guizhou University

Corresponding Author:[email protected]

Author Profile
Yihong Yuan
Guizhou University
Author Profile

Abstract

This paper is devoted to analysing a kind of fractional neutral stochastic system (FNSS). Firstly, by introducing the notion of newly defined two-parameter Mittag-Leffler matrix function, we derive the solution of the corresponding linear stochastic system. Subsequently, for the linear case, by virtue of the Grammian matrix, we give a suffcient and necessary condition to guarantee the relatively exact controllability for the addressed case. Furthermore, for the nonlinear one, the relatively exact controllability is obtained by fixed point and explore it via Banach contraction principle. Finally, two examples are provided to intensify our theoretical conclusions.
22 Aug 2023Submitted to Mathematical Methods in the Applied Sciences
22 Aug 2023Submission Checks Completed
22 Aug 2023Assigned to Editor
30 Aug 2023Review(s) Completed, Editorial Evaluation Pending
25 Sep 2023Reviewer(s) Assigned