{"title":"一类具有非局部条件的保形分数积分微分方程的积分解","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":"{\"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}","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}
Integral solution of a conformable fractional integro-differential equation with nonlocal condition
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.