无界区域上涉及到ψ-Riemann-Liouville分数阶导数问题的存在性结果

Differential Equations & Applications Pub Date : 1900-01-01 DOI:10.7153/dea-2022-14-06

Kheireddine Benia, M. Beddani, Michal Feckan, B. Hedia

{"title":"无界区域上涉及到ψ-Riemann-Liouville分数阶导数问题的存在性结果","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":"{\"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}","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

摘要

．研究了一类特殊Banach空间上(0，∞)上具有ψ -Riemann-Liouville分数阶导数的分数阶微分方程解集的存在性及其拓扑结构。我们的方法是基于Meir-Keeler凝聚算子的不动点定理并结合非紧性度量。给出了一个例子来说明我们的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Existence result for a problem involving ψ-Riemann-Liouville fractional derivative on unbounded domain

. 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.

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

Differential Equations & Applications

自引率

0.00%

发文量