{"title":"On the partial stability of nonlinear impulsive Caputo fractional systems","authors":"Boulbaba Ghanmi, Saifeddine Ghnimi","doi":"10.1007/s11766-023-3735-7","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"166 - 179"},"PeriodicalIF":1.3000,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics-A Journal of Chinese Universities Series B","FirstCategoryId":"1089","ListUrlMain":"https://link.springer.com/article/10.1007/s11766-023-3735-7","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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.
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.
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