{"title":"Banach空间中分数阶微分包含的边值问题","authors":"M. Benchohra, J. Henderson, D. Seba","doi":"10.7153/FDC-02-07","DOIUrl":null,"url":null,"abstract":"This paper is concerned with the existence ofsolutions of nonlinear fractional differen- tial inclusions with boundary conditions in a Banach space. The main result is obtained by using the set-valued analog of Monch fixed point theorem combined with the Kuratowski measure of noncompactness.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"414 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"Boundary value problems for fractional differential inclusions in Banach spaces\",\"authors\":\"M. Benchohra, J. Henderson, D. Seba\",\"doi\":\"10.7153/FDC-02-07\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with the existence ofsolutions of nonlinear fractional differen- tial inclusions with boundary conditions in a Banach space. The main result is obtained by using the set-valued analog of Monch fixed point theorem combined with the Kuratowski measure of noncompactness.\",\"PeriodicalId\":135809,\"journal\":{\"name\":\"Fractional Differential Calculus\",\"volume\":\"414 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fractional Differential Calculus\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/FDC-02-07\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fractional Differential Calculus","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/FDC-02-07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Boundary value problems for fractional differential inclusions in Banach spaces
This paper is concerned with the existence ofsolutions of nonlinear fractional differen- tial inclusions with boundary conditions in a Banach space. The main result is obtained by using the set-valued analog of Monch fixed point theorem combined with the Kuratowski measure of noncompactness.