具有无限延迟的两项时间分数阶微分方程的衰减估计

IF 0.9 4区数学 Q2 MATHEMATICS Fixed Point Theory Pub Date : 2021-07-01 DOI:10.24193/fpt-ro.2021.2.48

D. Loi, V. Luong, N. T. Tung

{"title":"具有无限延迟的两项时间分数阶微分方程的衰减估计","authors":"D. Loi, V. Luong, N. T. Tung","doi":"10.24193/fpt-ro.2021.2.48","DOIUrl":null,"url":null,"abstract":"In this paper, nonlinear differential evolution equations of fractional order in Banach spaces involving unbounded delays are investigated. We aim to prove the existence of mild solutions and demonstrate its polynomial decay by the fixed point principle for condensing maps. An example of the application of abstract results is given for illustration.","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":" ","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Decay estimates for two-term time fractional differential equations with infinite delays\",\"authors\":\"D. Loi, V. Luong, N. T. Tung\",\"doi\":\"10.24193/fpt-ro.2021.2.48\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, nonlinear differential evolution equations of fractional order in Banach spaces involving unbounded delays are investigated. We aim to prove the existence of mild solutions and demonstrate its polynomial decay by the fixed point principle for condensing maps. An example of the application of abstract results is given for illustration.\",\"PeriodicalId\":51051,\"journal\":{\"name\":\"Fixed Point Theory\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fixed Point Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.24193/fpt-ro.2021.2.48\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fixed Point Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.24193/fpt-ro.2021.2.48","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了Banach空间中含有无界时滞的分数阶非线性微分演化方程。我们的目的是证明温和解的存在性，并用凝聚映射的不动点原理证明其多项式衰变。并举例说明了抽象结果的应用。

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

Decay estimates for two-term time fractional differential equations with infinite delays

In this paper, nonlinear differential evolution equations of fractional order in Banach spaces involving unbounded delays are investigated. We aim to prove the existence of mild solutions and demonstrate its polynomial decay by the fixed point principle for condensing maps. An example of the application of abstract results is given for illustration.

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

Fixed Point Theory 数学-数学

CiteScore

2.30

自引率

9.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Fixed Point Theory publishes relevant research and expository papers devoted to the all topics of fixed point theory and applications in all structured set (algebraic, metric, topological (general and algebraic), geometric (synthetic, analytic, metric, differential, topological), ...) and in category theory. Applications to ordinary differential equations, partial differential equations, functional equations, integral equations, mathematical physics, mathematical chemistry, mathematical biology, mathematical economics, mathematical finances, informatics, ..., are also welcome.