{"title":"一类Caputo分数阶微分方程边值问题的新结果","authors":"L. Tabharit, Z. Dahmani","doi":"10.12816/0006186","DOIUrl":null,"url":null,"abstract":"In this paper, we study the existence and uniqueness of solutions for boundary value problems of fractional dierential equations using Caputo approach. The obtained results are proved using the Banach contraction principle and Scheafer xed point theorem. We also provide some examples to illustrate the possible application of the established results.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"New Results for a Boundary Value Problem for Caputo Fractional Differential Equations\",\"authors\":\"L. Tabharit, Z. Dahmani\",\"doi\":\"10.12816/0006186\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the existence and uniqueness of solutions for boundary value problems of fractional dierential equations using Caputo approach. The obtained results are proved using the Banach contraction principle and Scheafer xed point theorem. We also provide some examples to illustrate the possible application of the established results.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0006186\",\"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/10.12816/0006186","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New Results for a Boundary Value Problem for Caputo Fractional Differential Equations
In this paper, we study the existence and uniqueness of solutions for boundary value problems of fractional dierential equations using Caputo approach. The obtained results are proved using the Banach contraction principle and Scheafer xed point theorem. We also provide some examples to illustrate the possible application of the established results.
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