无界域上 Hadamard 分微分方程边界值问题的存在性结果

IF 0.3 Q4 STATISTICS & PROBABILITY Random Operators and Stochastic Equations Pub Date : 2024-05-04 DOI:10.1515/rose-2024-2011

Mohamed Helal, Meriem Kerfouf, Fadila Semari

{"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":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":"{\"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}","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

摘要

在本文中，我们研究了一类涉及哈达玛德分数导数的分数微分方程边界值问题的解的存在性和唯一性，并将弗里贡和格拉纳斯提出的勒雷-肖德非线性替代方法应用于弗雷谢特空间中的收缩映射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Random Operators and Stochastic Equations STATISTICS & PROBABILITY-

CiteScore

0.60

自引率

25.00%

发文量