Kheireddine Benia, M. Beddani, Michal Feckan, B. Hedia
{"title":"Existence result for a problem involving ψ-Riemann-Liouville fractional derivative on unbounded domain","authors":"Kheireddine Benia, M. Beddani, Michal Feckan, B. Hedia","doi":"10.7153/dea-2022-14-06","DOIUrl":null,"url":null,"abstract":". This paper deals with the the existence of solution sets and its topological structure for a fractional differential equation with ψ -Riemann-Liouville fractional derivative on ( 0 , ∞ ) in a special Banach space. Our approach is based on a fi xed point theorem for Meir-Keeler condensing operators combined with measure of non-compactness. An example is given to illustrate our approach.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-2022-14-06","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
. This paper deals with the the existence of solution sets and its topological structure for a fractional differential equation with ψ -Riemann-Liouville fractional derivative on ( 0 , ∞ ) in a special Banach space. Our approach is based on a fi xed point theorem for Meir-Keeler condensing operators combined with measure of non-compactness. An example is given to illustrate our approach.