Approximate Controllability for Hilfer Fractional Stochastic Non-instantaneous Impulsive Differential System with Rosenblatt Process and Poisson Jumps

被引：18

作者：

Gokul, G. ^{[1
]}

Udhayakumar, R. ^{[1
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 02期

关键词：

Approximate controllability; Stochastic differential systems; Non-instantaneous impulses; Poisson jumps; HYERS-ULAM STABILITY; EQUATIONS; EXISTENCE;

D O I：

10.1007/s12346-023-00912-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the approximate controllability of Hilfer fractional stochastic differential system involving non-instantaneous impulses with Rosenblatt process and Poisson jumps. By utilising stochastic analysis, semigroup theory, fractional calculus, and Krasnoselskii's fixed point theorem, we prove our primary outcomes. Firstly, we prove the approximate controllability of the Hilfer fractional system. As a final step, we provide an example to highlight our discussion.

引用

页数：26

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