{"title":"具有无限延迟的sobolev型分数阶脉冲随机微分方程的存在性和可控性结果","authors":"A. Boudaoui, Abdeldjalil Slama","doi":"10.7862/RF.2017.3","DOIUrl":null,"url":null,"abstract":"In this paper, we prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic differential equations with infinite delay in Hilbert spaces. In addition, the controllability of the system with nonlocal conditions and infinite delay is studied. An example is provided to illustrate the obtained theory. AMS Subject Classification: 65C30, 93B05, 34K40, 34K45.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Existence and controllability results for Sobolev-type fractional impulsive stochastic differential equations with infinite delay\",\"authors\":\"A. Boudaoui, Abdeldjalil Slama\",\"doi\":\"10.7862/RF.2017.3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic differential equations with infinite delay in Hilbert spaces. In addition, the controllability of the system with nonlocal conditions and infinite delay is studied. An example is provided to illustrate the obtained theory. AMS Subject Classification: 65C30, 93B05, 34K40, 34K45.\",\"PeriodicalId\":345762,\"journal\":{\"name\":\"Journal of Mathematics and Applications\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7862/RF.2017.3\",\"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 Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/RF.2017.3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence and controllability results for Sobolev-type fractional impulsive stochastic differential equations with infinite delay
In this paper, we prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic differential equations with infinite delay in Hilbert spaces. In addition, the controllability of the system with nonlocal conditions and infinite delay is studied. An example is provided to illustrate the obtained theory. AMS Subject Classification: 65C30, 93B05, 34K40, 34K45.
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