Stability analysis of Hilfer fractional stochastic switched dynamical systems with non-Gaussian process and impulsive effects

IF 2.5 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2025-05-08 DOI:10.1007/s13540-025-00420-6

Rajesh Dhayal, Quanxin Zhu

引用次数: 0

Abstract

This paper is devoted to exploring a new class of Hilfer fractional stochastic switched dynamical systems with the Rosenblatt process and abrupt changes, where the abrupt changes occur suddenly at specific points and extend over finite time intervals. Initially, we established solvability outcomes for the proposed switched dynamical systems by employing the fractional calculus, fixed point method, and Mittag-Leffler function. Moreover, we derived the Ulam-Hyers stability criteria for considered switched dynamical systems. Finally, we provide an example to illustrate the obtained results.

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具有非高斯过程和脉冲效应的Hilfer分数阶随机开关动力系统的稳定性分析

本文研究一类新的具有Rosenblatt过程和突变的Hilfer分数阶随机开关动力系统，其中突变在特定的点上突然发生并在有限的时间间隔上扩展。首先，我们利用分数阶微积分、不动点法和mittagg - leffler函数建立了所提出的开关动力系统的可解性结果。此外，我们还导出了考虑切换动力系统的Ulam-Hyers稳定性判据。最后，给出了一个算例来说明所得结果。

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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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.