2015-04-27T16:11:34Zhttp://www.hindawi.com/oai-pmh/oai.aspxoai:hindawi.com:10.1155/2011/391971
2014-12-02T09:11:48Z
HINDAWI.AAA:2011Existence of Positive Solutions for a Class of Delay Fractional Differential Equations with Generalization to N-Term
Azizollah Babakhani
Dumitru Baleanu
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 fractional derivatives. In this problem, the initial conditions with
fractional order and some relations among them were considered. The analysis rely
on the alternative of the Leray-Schauder fixed point theorem, the Banach fixed point
theorem, and the Arzela-Ascoli theorem in a cone.
Abstract and Applied Analysis
2011
Research Article
http://dx.doi.org/10.1155/2011/391971
en
Copyright © 2011 Azizollah Babakhani and Dumitru Baleanu.