{"title":"一类时间分数型抛物型问题的弱解及其在逆问题上的应用","authors":"Faizi Rima, Atmania Rahima","doi":"10.1109/ICRAMI52622.2021.9585945","DOIUrl":null,"url":null,"abstract":"In this paper, we consider a parabolic equation involving Caputo’s time-fractional derivative of order α ∈ (0, 1), called subdiffusion problem. We obtain existence, uniqueness and stability results of weak solution for the reaction-diffusion problem in view of fixed point theory. Then, we study an inverse coefficient problem with an output data g(t) for a fixed point space.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weak Solution for a Time-fractional Parabolic Problem with Application to an Inverse Problem\",\"authors\":\"Faizi Rima, Atmania Rahima\",\"doi\":\"10.1109/ICRAMI52622.2021.9585945\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider a parabolic equation involving Caputo’s time-fractional derivative of order α ∈ (0, 1), called subdiffusion problem. We obtain existence, uniqueness and stability results of weak solution for the reaction-diffusion problem in view of fixed point theory. Then, we study an inverse coefficient problem with an output data g(t) for a fixed point space.\",\"PeriodicalId\":440750,\"journal\":{\"name\":\"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-09-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICRAMI52622.2021.9585945\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICRAMI52622.2021.9585945","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Weak Solution for a Time-fractional Parabolic Problem with Application to an Inverse Problem
In this paper, we consider a parabolic equation involving Caputo’s time-fractional derivative of order α ∈ (0, 1), called subdiffusion problem. We obtain existence, uniqueness and stability results of weak solution for the reaction-diffusion problem in view of fixed point theory. Then, we study an inverse coefficient problem with an output data g(t) for a fixed point space.
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