线性分数中性延迟微分方程的稳定性分析

IF 1.4 2区数学 Q1 MATHEMATICS Calcolo Pub Date : 2024-06-24 DOI:10.1007/s10092-024-00595-z

Jingjun Zhao, Xingchi Wang, Yang Xu

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摘要

本文研究了线性分数中性延迟微分方程的分析稳定性区域和渐近稳定性。利用边界定位技术分析了该问题的稳定区域。此外，我们推导了线性分数中性延迟微分方程的基本解，并证明了指数有界性、渐近稳定性和代数衰减率。最后，通过数值检验验证了理论结果。

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Stability analysis of linear fractional neutral delay differential equations

This paper investigates the analytical stability region and the asymptotic stability of linear fractional neutral delay differential equations. Employing boundary locus techniques, the stability region of this problem is analyzed. Furthermore, we derive the fundamental solution of linear fractional neutral delay differential equations, and prove the exponential boundedness, the asymptotic stability and the algebraic decay rate. Finally, numerical tests are conducted to verify the theoretical results.

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来源期刊

Calcolo 数学-数学

CiteScore

2.40

自引率

11.80%

发文量

审稿时长

>12 weeks

期刊介绍： Calcolo is a quarterly of the Italian National Research Council, under the direction of the Institute for Informatics and Telematics in Pisa. Calcolo publishes original contributions in English on Numerical Analysis and its Applications, and on the Theory of Computation. The main focus of the journal is on Numerical Linear Algebra, Approximation Theory and its Applications, Numerical Solution of Differential and Integral Equations, Computational Complexity, Algorithmics, Mathematical Aspects of Computer Science, Optimization Theory. Expository papers will also appear from time to time as an introduction to emerging topics in one of the above mentioned fields. There will be a "Report" section, with abstracts of PhD Theses, news and reports from conferences and book reviews. All submissions will be carefully refereed.