一类非紧性或范数连续的非局部积分微分包含的存在性理论

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-05-15 DOI:10.1007/s13324-025-01069-3

Khaled Ben Amara, Aref Jeribi, Najib Kaddachi

{"title":"一类非紧性或范数连续的非局部积分微分包含的存在性理论","authors":"Khaled Ben Amara, Aref Jeribi, Najib Kaddachi","doi":"10.1007/s13324-025-01069-3","DOIUrl":null,"url":null,"abstract":"<div><p>This work is devoted to discuss the existence of solutions for an abstract class of partial integro-differential inclusions without compactness or norm-continuity conditions. Therefore, we derive an existence theory for some problems of fractional differential inclusions, as well as, neutral differential inclusions with nonlocal conditions on Banach space. Our studies are achieved via fixed point techniques.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence theory for some class of nonlocal integro-differential inclusions without compactness or norm-continuity\",\"authors\":\"Khaled Ben Amara, Aref Jeribi, Najib Kaddachi\",\"doi\":\"10.1007/s13324-025-01069-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This work is devoted to discuss the existence of solutions for an abstract class of partial integro-differential inclusions without compactness or norm-continuity conditions. Therefore, we derive an existence theory for some problems of fractional differential inclusions, as well as, neutral differential inclusions with nonlocal conditions on Banach space. Our studies are achieved via fixed point techniques.</p></div>\",\"PeriodicalId\":48860,\"journal\":{\"name\":\"Analysis and Mathematical Physics\",\"volume\":\"15 3\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-05-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis and Mathematical Physics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13324-025-01069-3\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s13324-025-01069-3","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文讨论了一类抽象的不具有紧性和范数连续条件的部分积分-微分包含的解的存在性。因此，我们在Banach空间上导出了分数阶微分包含的存在性理论，以及具有非局部条件的中性微分包含的存在性理论。我们的研究是通过定点技术实现的。

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 theory for some class of nonlocal integro-differential inclusions without compactness or norm-continuity

This work is devoted to discuss the existence of solutions for an abstract class of partial integro-differential inclusions without compactness or norm-continuity conditions. Therefore, we derive an existence theory for some problems of fractional differential inclusions, as well as, neutral differential inclusions with nonlocal conditions on Banach space. Our studies are achieved via fixed point techniques.

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

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.