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

Azizollah Babakhani and Dumitru Baleanu

Abstract and Applied Analysis, 2011, vol. 2011, 1-14

Abstract:

We established the existence of a positive solution of nonlinear fractional differential equations , with finite delay , , where , that is, is singular at and . The operator of 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:391971

DOI: 10.1155/2011/391971

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