{"title":"线性和非线性分数阶积分微分系统的可控性","authors":"M. Matar","doi":"10.7153/FDC-2019-09-02","DOIUrl":null,"url":null,"abstract":". In this article we investigate the controllability problem of linear and nonlinear frac- tional integrodifferential systems. We justify the controllability concepts on a fractional integrodifferential linear system, and use results, as well as Schauder’s fi xed point theorem, to obtain the controllability of the corresponding nonlinear system. Some applications are introduced to explain the theoretic parts.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"224 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"On controllability of linear and nonlinear fractional integrodifferential systems\",\"authors\":\"M. Matar\",\"doi\":\"10.7153/FDC-2019-09-02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this article we investigate the controllability problem of linear and nonlinear frac- tional integrodifferential systems. We justify the controllability concepts on a fractional integrodifferential linear system, and use results, as well as Schauder’s fi xed point theorem, to obtain the controllability of the corresponding nonlinear system. Some applications are introduced to explain the theoretic parts.\",\"PeriodicalId\":135809,\"journal\":{\"name\":\"Fractional Differential Calculus\",\"volume\":\"224 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fractional Differential Calculus\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/FDC-2019-09-02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fractional Differential Calculus","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/FDC-2019-09-02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On controllability of linear and nonlinear fractional integrodifferential systems
. In this article we investigate the controllability problem of linear and nonlinear frac- tional integrodifferential systems. We justify the controllability concepts on a fractional integrodifferential linear system, and use results, as well as Schauder’s fi xed point theorem, to obtain the controllability of the corresponding nonlinear system. Some applications are introduced to explain the theoretic parts.