Existence and Uniqueness of Positive Solutions for a Singular Fractional Three-Point Boundary Value Problem

We investigate the existence and uniqueness of positive solutions for the following singular fractional three-point boundary value problem D0+αu(t)+f(t,u(t))=0, 0<t<1, u(0)=u′(0)=u′′(0)=0, u′′(1)=βu′′(η), where 3<α≤4, D0+α is the standard Riemann-Liouville derivative and f:(0,1]×[0,∞)→[0,∞)...

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Bibliographic Details
Main Authors: I. J. Cabrera, J. Harjani, K. B. Sadarangani
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/803417