K. Kaliraj , P.K. Lakshmi Priya , V. Tamilarasan , S. Suresh
{"title":"Finite time stability of neutral multiterm fractional order time-varying delay systems","authors":"K. Kaliraj , P.K. Lakshmi Priya , V. Tamilarasan , S. Suresh","doi":"10.1016/j.cam.2024.116459","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, the finite-time stability of neutral multi-term fractional order system of non-linear type with time-varying input and state delays is investigated. Using the effectiveness of Banach fixed point theorem for generalized metric spaces, new sufficient conditions for finite-time stability of the considered system has been identified. Finally, numerical examples are given to get a better understanding of the theoretical results.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"461 ","pages":"Article 116459"},"PeriodicalIF":2.1000,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational and Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0377042724007076","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the finite-time stability of neutral multi-term fractional order system of non-linear type with time-varying input and state delays is investigated. Using the effectiveness of Banach fixed point theorem for generalized metric spaces, new sufficient conditions for finite-time stability of the considered system has been identified. Finally, numerical examples are given to get a better understanding of the theoretical results.
期刊介绍：
The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest.
The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
