{"title":"The Existence and Uniqueness of Positive Solution for Nonlinear Fractional Differential Equation Boundary Value Problem","authors":"C. Gu, S. Zhong","doi":"10.5281/ZENODO.1336310","DOIUrl":null,"url":null,"abstract":"In this paper,by using of new fixed point theorem for mixed monotone operator with perturbation,the existence and uniqueness of positive solution for nonlinear fractional differential equation boundary value problem is concerned. Our results can not only guarantee the existence and uniqueness of positive solution,but also be applied to construct an iterative scheme for approximating the solution.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"1 1","pages":"1549-1552"},"PeriodicalIF":0.0000,"publicationDate":"2014-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.1336310","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper,by using of new fixed point theorem for mixed monotone operator with perturbation,the existence and uniqueness of positive solution for nonlinear fractional differential equation boundary value problem is concerned. Our results can not only guarantee the existence and uniqueness of positive solution,but also be applied to construct an iterative scheme for approximating the solution.
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