发布求助
文献互助 智能选刊 最新文献

Green’s Functions for a Fractional Boundary Value Problem with Three Terms

Foundations Pub Date : 2022-10-12 DOI:10.3390/foundations2040060
P. Eloe, Jeffrey T. Neugebauer
{"title":"Green’s Functions for a Fractional Boundary Value Problem with Three Terms","authors":"P. Eloe, Jeffrey T. Neugebauer","doi":"10.3390/foundations2040060","DOIUrl":null,"url":null,"abstract":"We construct a Green’s function for the three-term fractional differential equation −D0+α−1u+aD0+μu+f(t)u=h(t), 0<t<b, where α∈(2,3], μ∈(1,2], and f is continuous, satisfying the boundary conditions u(0)=u′(0)=0, D0+βu(b)=0, where β∈[0,2]. To accomplish this, we first construct a Green’s function for the two-term problem −D0+α−1u+aD0+μu=h(t), 0<t<b, satisfying the same boundary conditions. A lemma from spectral theory is integral to our construction. Some limiting properties of the Green’s function for the two-term problem are also studied. Finally, existence results are given for a nonlinear problem.","PeriodicalId":81291,"journal":{"name":"Foundations","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Foundations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3390/foundations2040060","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

Abstract

We construct a Green’s function for the three-term fractional differential equation −D0+α−1u+aD0+μu+f(t)u=h(t), 0
分享
查看原文 本刊更多论文
一类三项分数边值问题的格林函数
对于三阶分数阶微分方程−D0+α−1u+aD0+μu+f(t)u=h(t)， 0
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 求助全文
来源期刊
Foundations
Foundations
自引率
0.00%
发文量
0
×
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
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信