{"title":"Integral solution of a conformable fractional integro-differential equation with nonlocal condition","authors":"M. Bouaouid","doi":"10.24193/mathcluj.2022.2.04","DOIUrl":null,"url":null,"abstract":"This paper deals with the existence and uniqueness of the integral solution of a nondense integro-differential equation with nonlocal condition in the frame of conformable fractional derivative. The main results are obtained by using some fixed point theorems combined with an integrated semigroup approach.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/mathcluj.2022.2.04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
This paper deals with the existence and uniqueness of the integral solution of a nondense integro-differential equation with nonlocal condition in the frame of conformable fractional derivative. The main results are obtained by using some fixed point theorems combined with an integrated semigroup approach.