{"title":"On a Delay Implicit Functional Integro - Differential Equation","authors":"Malak M. S. Ba-Ali","doi":"10.21608/ajst.2024.250598.1021","DOIUrl":null,"url":null,"abstract":": In this work, we use the De Blasi measure of noncompactness and Darbo fixed point Theorem to study the existence of solutions for an initial value problem of a delay implicit functional integro-differential equation. The sufficient condition for the uniqueness of the solution will be given. The continuous dependence of the unique solution on some data will be studied.","PeriodicalId":504746,"journal":{"name":"Alexandria Journal of Science and Technology","volume":"42 12","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Alexandria Journal of Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/ajst.2024.250598.1021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
: In this work, we use the De Blasi measure of noncompactness and Darbo fixed point Theorem to study the existence of solutions for an initial value problem of a delay implicit functional integro-differential equation. The sufficient condition for the uniqueness of the solution will be given. The continuous dependence of the unique solution on some data will be studied.
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