On the partial stability of nonlinear impulsive Caputo fractional systems

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI:10.1007/s11766-023-3735-7

Boulbaba Ghanmi, Saifeddine Ghnimi

引用次数: 0

Abstract

In this work, stability with respect to part of the variables of nonlinear impulsive Caputo fractional differential equations is investigated. Some effective sufficient conditions of stability, uniform stability, asymptotic uniform stability and Mittag Leffler stability. The approach presented is based on the specially introduced piecewise continuous Lyapunov functions. Furthermore, some numerical examples are given to show the effectiveness of our obtained theoretical results.

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非线性脉冲Caputo分数系统的部分稳定性

本文研究了一类非线性脉冲Caputo分数阶微分方程在部分变量下的稳定性。稳定性、一致稳定性、渐近一致稳定性和Mittag - Leffler稳定性的一些有效充分条件。该方法是基于特别介绍的分段连续李雅普诺夫函数。最后，通过数值算例验证了所得理论结果的有效性。

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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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.