Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations

We investigate the existence and multiplicity of positive solutions for the nonlinear fractional differential equation initial value problem D0+αu(t)+D0+βu(t)=f(t,u(t)), u(0)=0, 0<t<1, where 0<β<α<1, D0+α is the standard Riemann-Liouville differentiation and f:[0,1]×[0,∞)→[0,∞) is con...

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Bibliographic Details
Main Authors: D. Baleanu, H. Mohammadi, Sh. Rezapour
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/837437