{"title":"具有混合边界条件的非线性Katugampola分数阶微分方程","authors":"Barbara Lupińska","doi":"10.2478/tmmp-2023-0013","DOIUrl":null,"url":null,"abstract":"Abstract This paper discusses the existence and uniqueness of solutions for a class of nonlinear fractional differential equations with a mixed fractional boundary value using Banach and Schaefer fixed-point theorems. The examples illustrating the main results are given.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"84 1","pages":"25 - 34"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear Katugampola Fractional Differential Equation with Mixed Boundary Conditions\",\"authors\":\"Barbara Lupińska\",\"doi\":\"10.2478/tmmp-2023-0013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract This paper discusses the existence and uniqueness of solutions for a class of nonlinear fractional differential equations with a mixed fractional boundary value using Banach and Schaefer fixed-point theorems. The examples illustrating the main results are given.\",\"PeriodicalId\":38690,\"journal\":{\"name\":\"Tatra Mountains Mathematical Publications\",\"volume\":\"84 1\",\"pages\":\"25 - 34\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tatra Mountains Mathematical Publications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/tmmp-2023-0013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tatra Mountains Mathematical Publications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/tmmp-2023-0013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Nonlinear Katugampola Fractional Differential Equation with Mixed Boundary Conditions
Abstract This paper discusses the existence and uniqueness of solutions for a class of nonlinear fractional differential equations with a mixed fractional boundary value using Banach and Schaefer fixed-point theorems. The examples illustrating the main results are given.
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