riemann-liouville分数阶随机演化系统的近似可控性

Journal of Applied Analysis & Computation Pub Date : 1900-01-01 DOI:10.11948/20230006

He Yang, Yongxiang Li

{"title":"riemann-liouville分数阶随机演化系统的近似可控性","authors":"He Yang, Yongxiang Li","doi":"10.11948/20230006","DOIUrl":null,"url":null,"abstract":"This paper deals with the existence as well as the approximate controllability of Riemann-Liouville fractional stochastic evolution systems of Sobolev type with nonlocal initial conditions in abstract spaces. When the operator semigroup is noncompact and the nonlocal function is not Lipschitz continuous and not compact, the existence as well as the approximate controllability of the concerned problem are investigated. Finally, an application example is given.","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"77 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS\",\"authors\":\"He Yang, Yongxiang Li\",\"doi\":\"10.11948/20230006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the existence as well as the approximate controllability of Riemann-Liouville fractional stochastic evolution systems of Sobolev type with nonlocal initial conditions in abstract spaces. When the operator semigroup is noncompact and the nonlocal function is not Lipschitz continuous and not compact, the existence as well as the approximate controllability of the concerned problem are investigated. Finally, an application example is given.\",\"PeriodicalId\":241300,\"journal\":{\"name\":\"Journal of Applied Analysis & Computation\",\"volume\":\"77 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Analysis & Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.11948/20230006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Analysis & Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11948/20230006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

研究了抽象空间中具有非局部初始条件的Sobolev型Riemann-Liouville分数阶随机演化系统的存在性及其近似可控性。当算子半群非紧且非局部函数非Lipschitz连续且非紧时，研究了该问题的存在性和近似可控性。最后给出了一个应用实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS

This paper deals with the existence as well as the approximate controllability of Riemann-Liouville fractional stochastic evolution systems of Sobolev type with nonlocal initial conditions in abstract spaces. When the operator semigroup is noncompact and the nonlocal function is not Lipschitz continuous and not compact, the existence as well as the approximate controllability of the concerned problem are investigated. Finally, an application example is given.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Applied Analysis & Computation

自引率

0.00%

发文量