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<identifier>oai:hindawi.com:10.1155/2011/391971</identifier>
<datestamp>2014-12-02T09:11:48Z</datestamp>
<setSpec>HINDAWI.AAA:2011</setSpec>
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<dc:title>
Existence of Positive Solutions for a Class of Delay Fractional Differential Equations with Generalization to N-Term
</dc:title>
<dc:creator>Azizollah Babakhani</dc:creator>
<dc:creator>Dumitru Baleanu</dc:creator>
<dc:description>
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.
</dc:description>
<dc:publisher>Abstract and Applied Analysis</dc:publisher>
<dc:date>2011</dc:date>
<dc:type>Research Article</dc:type>
<dc:identifier>https://doi.org/10.1155/2011/391971</dc:identifier>
<dc:language>en</dc:language>
<dc:rights>
Copyright © 2011 Azizollah Babakhani and Dumitru Baleanu.
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