一般分数阶微积分中的混沌性质。

IF 2.7 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2024-12-01 DOI:10.1063/5.0243475

Anatoly N Kochubei

引用次数: 0

摘要

在一般分数阶微积分的框架下，证明了离散时间分数阶导数在Devaney意义上的混沌性质。后者是指对一个核具有Stieltjes类拉普拉斯变换的微分卷积算子的离散化。

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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Chaotic property in general fractional calculus.

We prove the chaos property, in the sense of Devaney, of the discrete-time fractional derivative understood in the framework of general fractional calculus. The latter means the discretization of a differential-convolution operator whose kernel has the Laplace transform belonging to the Stieltjes class.

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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.