{"title":"一类带Caputo导数的边值问题的分数式新结果","authors":"M. Houas, Z. Dahmani","doi":"10.12816/0006167","DOIUrl":null,"url":null,"abstract":"In this paper, we consider three point boundary value problem for fractional dierential equations of order 1 < < 2. We establish new conditions for the existence and uniqueness of solutions by using Banach xed point theorem. We also generate other existence results using Scheafer and Krasnoselskii xed point theorems.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"72 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"New Fractional Results for a Boundary Value Problem with Caputo Derivative\",\"authors\":\"M. Houas, Z. Dahmani\",\"doi\":\"10.12816/0006167\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider three point boundary value problem for fractional dierential equations of order 1 < < 2. We establish new conditions for the existence and uniqueness of solutions by using Banach xed point theorem. We also generate other existence results using Scheafer and Krasnoselskii xed point theorems.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"72 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0006167\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0006167","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New Fractional Results for a Boundary Value Problem with Caputo Derivative
In this paper, we consider three point boundary value problem for fractional dierential equations of order 1 < < 2. We establish new conditions for the existence and uniqueness of solutions by using Banach xed point theorem. We also generate other existence results using Scheafer and Krasnoselskii xed point theorems.
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