具有罗森布拉特过程和泊松跳跃的希尔费分数随机非瞬时脉冲微分系统的近似可控性

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2023-12-18 DOI:10.1007/s12346-023-00912-x

G. Gokul, R. Udhayakumar

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引用次数: 0

摘要

本文讨论了涉及罗森布拉特过程和泊松跳跃的非瞬时脉冲的希尔费分数随机微分系统的近似可控性。通过利用随机分析、半群理论、分数微积分和 Krasnoselskii 定点定理，我们证明了我们的主要成果。首先，我们证明了 Hilfer 分式系统的近似可控性。最后，我们提供一个例子来突出我们的讨论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.