On the asymptotic behavior of solutions to bilinear Caputo stochastic fractional differential equations

被引：0

作者：

Huong, P. T. ^{[1
]}

Anh, P. T. ^{[1
]}

机构：

[1] Le Quy Don Tech Univ, Dept Math, 236 Hoang Quoc Viet, Hanoi, Vietnam

来源：

STATISTICS & PROBABILITY LETTERS | 2025年 / 216卷

关键词：

Stochastic fractional differential equations; Stochastic Volterra equations; Fractional calculus; Caputo derivative; Asymptotic behavior; Stability in the mean square sense;

D O I：

10.1016/j.spl.2024.110272

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we focus on investigating the asymptotic behavior of solutions in a mean square sense to bilinear Caputo stochastic fractional differential equations (CSFDEs). The main tools in the proof include a variation of the constant formula for CSFDEs, the Jordan normal form of a matrix, the summation formula of Djrbashian type, and constructing a weighted norm in the associated Banach space.

引用

页数：8

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