带纯延迟的脉冲分微分方程的有限时间稳定性

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED

Axioms Pub Date : 2023-12-15 DOI:10.3390/axioms12121129

Tingting Xie, Mengmeng Li

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引用次数: 0

摘要

本文介绍了脉冲延迟 Mittag-Leffler 型向量函数的新概念，它是 Mittag-Leffler 矩阵函数的扩展。寻求线性脉冲分数微分延迟方程解的显式至关重要。基于解的明确公式，提出了脉冲分数微分延迟方程的有限时间稳定性结果。最后，我们举了四个例子来说明我们理论结果的有效性。

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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Finite-Time Stability of Impulsive Fractional Differential Equations with Pure Delays

This paper introduces a novel concept of the impulsive delayed Mittag–Leffler-type vector function, an extension of the Mittag–Leffler matrix function. It is essential to seek explicit formulas for the solutions to linear impulsive fractional differential delay equations. Based on explicit formulas of the solutions, the finite-time stability results of impulsive fractional differential delay equations are presented. Finally, we present four examples to illustrate the validity of our theoretical results.

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来源期刊

Axioms Mathematics-Algebra and Number Theory

自引率

10.00%

发文量

604

审稿时长

11 weeks

期刊介绍： Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.