{"title":"线性和非线性分数阶Hadamard边值问题","authors":"Sougata Dhar","doi":"10.7153/DEA-2018-10-23","DOIUrl":null,"url":null,"abstract":"We establish new Lyapunov-type inequalities for linear Hadamard fractional differential equations with pointwise boundary conditions. Furthermore, we employ the contraction mapping principle to obtain the criterion of the existence of a unique solution for a nonlinear fractional Hadamard type boundary value problem.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"10 1","pages":"329-339"},"PeriodicalIF":0.0000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On linear and nonlinear fractional Hadamard boundary value problems\",\"authors\":\"Sougata Dhar\",\"doi\":\"10.7153/DEA-2018-10-23\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish new Lyapunov-type inequalities for linear Hadamard fractional differential equations with pointwise boundary conditions. Furthermore, we employ the contraction mapping principle to obtain the criterion of the existence of a unique solution for a nonlinear fractional Hadamard type boundary value problem.\",\"PeriodicalId\":11162,\"journal\":{\"name\":\"Differential Equations and Applications\",\"volume\":\"10 1\",\"pages\":\"329-339\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-2018-10-23\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-2018-10-23","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On linear and nonlinear fractional Hadamard boundary value problems
We establish new Lyapunov-type inequalities for linear Hadamard fractional differential equations with pointwise boundary conditions. Furthermore, we employ the contraction mapping principle to obtain the criterion of the existence of a unique solution for a nonlinear fractional Hadamard type boundary value problem.