{"title":"Existence results for boundary value problems of Hadamard fractional differential equations on unbounded domain","authors":"Mohamed Helal, Meriem Kerfouf, Fadila Semari","doi":"10.1515/rose-2024-2011","DOIUrl":null,"url":null,"abstract":"\n In this paper we investigate the existence and uniqueness of\nsolutions for a class of boundary value problem for fractional differential equations\ninvolving the Hadamard’s fractional derivative, by applying a nonlinear alternative of\nLeray–Schauder due to Frigon and Granas for contraction maps in Fréchet spaces.","PeriodicalId":43421,"journal":{"name":"Random Operators and Stochastic Equations","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Operators and Stochastic Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/rose-2024-2011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we investigate the existence and uniqueness of
solutions for a class of boundary value problem for fractional differential equations
involving the Hadamard’s fractional derivative, by applying a nonlinear alternative of
Leray–Schauder due to Frigon and Granas for contraction maps in Fréchet spaces.
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