The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite Delay

Azizollah Babakhani, Dumitru Baleanu and Ravi P. Agarwal

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

We prove the existence and uniqueness of solutions for two classes of infinite delay nonlinear fractional order differential equations involving Riemann-Liouville fractional derivatives. The analysis is based on the alternative of the Leray-Schauder fixed-point theorem, the Banach fixed-point theorem, and the Arzela-Ascoli theorem in such that is continuous and is a phase space.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:592964

DOI: 10.1155/2013/592964

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