{"title":"半线性Caputo型时间分数系统的区域重构。","authors":"F. E. Alaoui, A. Boutoulout, Khalid Zguaid","doi":"10.31197/atnaa.799236","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to investigate the concept of regional observability, precisely regional reconstruction of the initial state, for a semilinear Caputo type time-fractional di usion system. The approaches attempted in this work are both based on xed point techniques that leads to a successful algorithm which is tested by numerical examples.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"67 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Regional Reconstruction of Semilinear Caputo Type Time-Fractional Systems Using the Analytical Approach.\",\"authors\":\"F. E. Alaoui, A. Boutoulout, Khalid Zguaid\",\"doi\":\"10.31197/atnaa.799236\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this paper is to investigate the concept of regional observability, precisely regional reconstruction of the initial state, for a semilinear Caputo type time-fractional di usion system. The approaches attempted in this work are both based on xed point techniques that leads to a successful algorithm which is tested by numerical examples.\",\"PeriodicalId\":7440,\"journal\":{\"name\":\"Advances in the Theory of Nonlinear Analysis and its Application\",\"volume\":\"67 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in the Theory of Nonlinear Analysis and its Application\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31197/atnaa.799236\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in the Theory of Nonlinear Analysis and its Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31197/atnaa.799236","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Regional Reconstruction of Semilinear Caputo Type Time-Fractional Systems Using the Analytical Approach.
The aim of this paper is to investigate the concept of regional observability, precisely regional reconstruction of the initial state, for a semilinear Caputo type time-fractional di usion system. The approaches attempted in this work are both based on xed point techniques that leads to a successful algorithm which is tested by numerical examples.
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