Existence of Positive Solutions for a Class of Delay Fractional Differential Equations with Generalization to N-Term

We established the existence of a positive solution of nonlinear fractional differential equations L(D)[x(t)−x(0)]=f(t,xt), t∈(0,b] with finite delay x(t)=ω(t), t∈[−τ,0], where limt→0f(t,xt)=+∞, that is, f is singular at t=0 and xt∈C([−τ,0],ℝ≥0). The operator of L(D) involves the Riemann-Liouville f...

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Bibliographic Details
Main Authors: Azizollah Babakhani, Dumitru Baleanu
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/391971