涉及caputo -分数阶导数的多项分数阶时滞微分方程的研究

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-04-08 DOI:10.1016/j.jmaa.2025.129563

Iram Iqbal , Fatiha Moh. Alsammak , Mashaer Alsaeedi , Mhassen E.E. Dalam , Bilal Iqbal

{"title":"涉及caputo -分数阶导数的多项分数阶时滞微分方程的研究","authors":"Iram Iqbal , Fatiha Moh. Alsammak , Mashaer Alsaeedi , Mhassen E.E. Dalam , Bilal Iqbal","doi":"10.1016/j.jmaa.2025.129563","DOIUrl":null,"url":null,"abstract":"<div><div>The aim of this paper is to produce some necessary conditions to exhibit the existence of solutions for the multi-term delay fractional boundary value problems subject to the periodic/anti-periodic boundary conditions in setting of ♭-metric spaces. In this regard we obtain the fixed-point results for <span><math><mi>F</mi></math></span>-type mappings that satisfy specific contractive criteria and have less limitations put on function <span><math><mi>F</mi></math></span> and then prove the existence results with the aid of obtained fixed point results.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"549 2","pages":"Article 129563"},"PeriodicalIF":1.2000,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Study of multi-term fractional delay differential equations involving Caputo-fractional derivative\",\"authors\":\"Iram Iqbal , Fatiha Moh. Alsammak , Mashaer Alsaeedi , Mhassen E.E. Dalam , Bilal Iqbal\",\"doi\":\"10.1016/j.jmaa.2025.129563\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The aim of this paper is to produce some necessary conditions to exhibit the existence of solutions for the multi-term delay fractional boundary value problems subject to the periodic/anti-periodic boundary conditions in setting of ♭-metric spaces. In this regard we obtain the fixed-point results for <span><math><mi>F</mi></math></span>-type mappings that satisfy specific contractive criteria and have less limitations put on function <span><math><mi>F</mi></math></span> and then prove the existence results with the aid of obtained fixed point results.</div></div>\",\"PeriodicalId\":50147,\"journal\":{\"name\":\"Journal of Mathematical Analysis and Applications\",\"volume\":\"549 2\",\"pages\":\"Article 129563\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2025-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Analysis and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022247X25003440\",\"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":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25003440","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

本文的目的是给出在周期/反周期边界条件下的多项时滞分数阶边值问题在幽灵度量空间中解存在的必要条件。在此基础上，我们得到了满足特定压缩准则且对函数F限制较少的F型映射的不动点结果，并借助得到的不动点结果证明了存在性结果。

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

Study of multi-term fractional delay differential equations involving Caputo-fractional derivative

The aim of this paper is to produce some necessary conditions to exhibit the existence of solutions for the multi-term delay fractional boundary value problems subject to the periodic/anti-periodic boundary conditions in setting of ♭-metric spaces. In this regard we obtain the fixed-point results for

F

-type mappings that satisfy specific contractive criteria and have less limitations put on function

F

and then prove the existence results with the aid of obtained fixed point results.

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

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.