{"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}
引用次数: 5
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.
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