分数阶非自治时滞系统的Mittag-Leffler极限有界性

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-05-05 DOI:10.1016/j.chaos.2025.116482

Baizeng Bao , Liguang Xu

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引用次数: 0

摘要

研究了具有时滞的分数阶非自治系统的Mittag-Leffler极限有界性。首先，利用Mittag-Leffler函数的性质和分数阶比较原理，提出了一种新的分数阶非自治Halanay不等式，该不等式不再需要系统系数的有界性和公因子条件；这意味着这些条件比现有的结果更保守。然后，利用所得到的不等式，导出了所考虑系统的Mittag-Leffler最终有界性的若干判据。最后，通过实例验证了研究结果的有效性。

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Mittag-Leffler ultimate boundedness of fractional-order nonautonomous delay systems

This paper investigates the Mittag-Leffler ultimate boundedness of fractional-order nonautonomous systems with delay. First, using the properties of the Mittag-Leffler function and the fractional-order comparison principle, a novel fractional-order nonautonomous Halanay inequality is proposed, which no longer requires the conditions of boundedness and common factors of the coefficients of the systems. This implies that the conditions are less conservative than the existing results. Then, with the help of the obtained inequality, some criteria for the Mittag-Leffler ultimate boundedness of the considered system are derived. Finally, examples are given to demonstrate the effectiveness of the findings.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.