{"title":"Approximate Controllability of Nonlocal Fractional Control System","authors":"Kamla Kant Mishra, Shruti Dubey","doi":"10.1007/s12346-024-01091-z","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we aim to find a mild solution for a delay control system described by nonlinear fractional evolution differential equations in Banach spaces while being subjected to nonlocal conditions. Further, we explore the sufficient conditions for the approximate controllability of the nonlinear fractional control system, assuming that the associated linear system is approximately controllable. We provide some applications at the end to demonstrate our proposed results.</p>","PeriodicalId":48886,"journal":{"name":"Qualitative Theory of Dynamical Systems","volume":"29 1","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Qualitative Theory of Dynamical Systems","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12346-024-01091-z","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we aim to find a mild solution for a delay control system described by nonlinear fractional evolution differential equations in Banach spaces while being subjected to nonlocal conditions. Further, we explore the sufficient conditions for the approximate controllability of the nonlinear fractional control system, assuming that the associated linear system is approximately controllable. We provide some applications at the end to demonstrate our proposed results.
期刊介绍：
Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.
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