A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems

IF 1.4 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-07-04 DOI:10.1515/ijnsns-2021-0338
Asmat Batool, Imran Talib, Rym Bourguiba, I. Suwan, T. Abdeljawad, M. Riaz
{"title":"A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems","authors":"Asmat Batool, Imran Talib, Rym Bourguiba, I. Suwan, T. Abdeljawad, M. Riaz","doi":"10.1515/ijnsns-2021-0338","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we construct a new generalized result to study the existence of solutions of nonlinear fractional boundary value problems (FBVPs). The proposed results unify the existence criteria of certain FBVPs including periodic and antiperiodic as special cases that have been previously studied separately in the literature. The method we employ is topological in its nature and manifests themselves in the forms of differential inequalities (lower and upper solutions, and coupled lower and upper solutions (CLUSs)). Two examples are given to demonstrate the applicability of the developed theoretical results.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2022-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Nonlinear Sciences and Numerical Simulation","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1515/ijnsns-2021-0338","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 1

Abstract

Abstract In this paper, we construct a new generalized result to study the existence of solutions of nonlinear fractional boundary value problems (FBVPs). The proposed results unify the existence criteria of certain FBVPs including periodic and antiperiodic as special cases that have been previously studied separately in the literature. The method we employ is topological in its nature and manifests themselves in the forms of differential inequalities (lower and upper solutions, and coupled lower and upper solutions (CLUSs)). Two examples are given to demonstrate the applicability of the developed theoretical results.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
研究非线性分式边值问题解存在性的一种新的广义方法
摘要本文构造了一个新的广义结果来研究非线性分数边值问题(FBVP)解的存在性。所提出的结果统一了某些FBVP的存在标准,包括作为特殊情况的周期性和反周期性,这些特殊情况在文献中已经单独研究过。我们使用的方法本质上是拓扑的,表现为微分不等式的形式(上下解,以及上下耦合解(CLUS))。通过两个算例验证了理论结果的适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
CiteScore
2.80
自引率
6.70%
发文量
117
审稿时长
13.7 months
期刊介绍: The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.
期刊最新文献
Frontmatter Frontmatter Frontmatter Frontmatter Frontmatter
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1