{"title":"无界域上 Hadamard 分微分方程边界值问题的存在性结果","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":0,"journal":{"name":"","volume":"179 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":\"179 3\",\"pages\":\"\"},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-05-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"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\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","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":"","JCRName":"","Score":null,"Total":0}
Existence results for boundary value problems of Hadamard fractional differential equations on unbounded domain
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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