{"title":"具有分数阶积分微分表达式的扩散方程的零可控性","authors":"Xiangdong Yang","doi":"10.4208/ata.oa-2018-0020","DOIUrl":null,"url":null,"abstract":". The article considers the controllability of a diffusion equation with fractional integro-differential expressions. We prove that the resulting equation is null-controllable in arbitrary small time. Our method reduces essentially to the study of classical moment problems.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"18 1","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Null-Controllability of a Diffusion Equation with Fractional Integro-Differential Expressions\",\"authors\":\"Xiangdong Yang\",\"doi\":\"10.4208/ata.oa-2018-0020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The article considers the controllability of a diffusion equation with fractional integro-differential expressions. We prove that the resulting equation is null-controllable in arbitrary small time. Our method reduces essentially to the study of classical moment problems.\",\"PeriodicalId\":29763,\"journal\":{\"name\":\"Analysis in Theory and Applications\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis in Theory and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4208/ata.oa-2018-0020\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis in Theory and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4208/ata.oa-2018-0020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Null-Controllability of a Diffusion Equation with Fractional Integro-Differential Expressions
. The article considers the controllability of a diffusion equation with fractional integro-differential expressions. We prove that the resulting equation is null-controllable in arbitrary small time. Our method reduces essentially to the study of classical moment problems.
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