{"title":"On a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditions","authors":"M. Abbas","doi":"10.2298/FIL2009003A","DOIUrl":null,"url":null,"abstract":"We consider a Hilfer fractional differential equation with nonlocal Erdelyi-Kober fractional integral boundary conditions. The existence, uniqueness and Ulam-Hyers stability results are investigated by means of the Krasnoselskii's fixed point theorem and Banach's fixed point theorem. An example is given to illustrate the main results.","PeriodicalId":8451,"journal":{"name":"arXiv: Classical Analysis and ODEs","volume":"57 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/FIL2009003A","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We consider a Hilfer fractional differential equation with nonlocal Erdelyi-Kober fractional integral boundary conditions. The existence, uniqueness and Ulam-Hyers stability results are investigated by means of the Krasnoselskii's fixed point theorem and Banach's fixed point theorem. An example is given to illustrate the main results.