{"title":"Riemann-Liouville分数阶微分方程非线性三点问题多个正解的存在性","authors":"Yunhong Li, Weihua Jiang","doi":"10.1504/ijdsde.2020.106029","DOIUrl":null,"url":null,"abstract":"In this paper, the existence of multiple positive solutions is considered for nonlinear three-point problem for Riemann-Liouville fractional differential equation. We use the Avery-Peterson fixed point theorem to acquire the existence of multiple positive solutions for the boundary value problem. Two examples are also presented to illustrate the effectiveness of the main result.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2020-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1504/ijdsde.2020.106029","citationCount":"0","resultStr":"{\"title\":\"Existence of multiple positive solutions for nonlinear three-point problem for Riemann-Liouville fractional differential equation\",\"authors\":\"Yunhong Li, Weihua Jiang\",\"doi\":\"10.1504/ijdsde.2020.106029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the existence of multiple positive solutions is considered for nonlinear three-point problem for Riemann-Liouville fractional differential equation. We use the Avery-Peterson fixed point theorem to acquire the existence of multiple positive solutions for the boundary value problem. Two examples are also presented to illustrate the effectiveness of the main result.\",\"PeriodicalId\":43101,\"journal\":{\"name\":\"International Journal of Dynamical Systems and Differential Equations\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2020-03-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1504/ijdsde.2020.106029\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Dynamical Systems and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/ijdsde.2020.106029\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Dynamical Systems and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijdsde.2020.106029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Existence of multiple positive solutions for nonlinear three-point problem for Riemann-Liouville fractional differential equation
In this paper, the existence of multiple positive solutions is considered for nonlinear three-point problem for Riemann-Liouville fractional differential equation. We use the Avery-Peterson fixed point theorem to acquire the existence of multiple positive solutions for the boundary value problem. Two examples are also presented to illustrate the effectiveness of the main result.
期刊介绍:
IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.