{"title":"具有无限多奇点的非线性三点 p-Laplacian 分数边界值问题的正解","authors":"","doi":"10.1016/j.ifacol.2024.08.238","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, an attempt has been made to establish the existence and multiplicity of positive solutions for a class of nonlinear singular fractional differential equation subject to the non-local boundary conditions. We have shown that there exist countably many positive solutions with the help of fixed point index theory in a cone on a Banach space.</p></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2405896324009686/pdf?md5=5f3a08d7e610c8456dfdcb5b32afe2ec&pid=1-s2.0-S2405896324009686-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Positive solutions of a nonlinear three-point p-Laplacian fractional boundary value problem with infinitely many singularities\",\"authors\":\"\",\"doi\":\"10.1016/j.ifacol.2024.08.238\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, an attempt has been made to establish the existence and multiplicity of positive solutions for a class of nonlinear singular fractional differential equation subject to the non-local boundary conditions. We have shown that there exist countably many positive solutions with the help of fixed point index theory in a cone on a Banach space.</p></div>\",\"PeriodicalId\":37894,\"journal\":{\"name\":\"IFAC-PapersOnLine\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2405896324009686/pdf?md5=5f3a08d7e610c8456dfdcb5b32afe2ec&pid=1-s2.0-S2405896324009686-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IFAC-PapersOnLine\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2405896324009686\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IFAC-PapersOnLine","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405896324009686","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
Positive solutions of a nonlinear three-point p-Laplacian fractional boundary value problem with infinitely many singularities
In this paper, an attempt has been made to establish the existence and multiplicity of positive solutions for a class of nonlinear singular fractional differential equation subject to the non-local boundary conditions. We have shown that there exist countably many positive solutions with the help of fixed point index theory in a cone on a Banach space.
期刊介绍:
All papers from IFAC meetings are published, in partnership with Elsevier, the IFAC Publisher, in theIFAC-PapersOnLine proceedings series hosted at the ScienceDirect web service. This series includes papers previously published in the IFAC website.The main features of the IFAC-PapersOnLine series are: -Online archive including papers from IFAC Symposia, Congresses, Conferences, and most Workshops. -All papers accepted at the meeting are published in PDF format - searchable and citable. -All papers published on the web site can be cited using the IFAC PapersOnLine ISSN and the individual paper DOI (Digital Object Identifier). The site is Open Access in nature - no charge is made to individuals for reading or downloading. Copyright of all papers belongs to IFAC and must be referenced if derivative journal papers are produced from the conference papers. All papers published in IFAC-PapersOnLine have undergone a peer review selection process according to the IFAC rules.