Existence and Uniqueness of Solution for a Class of Nonlinear Fractional Order Differential Equations

Azizollah Babakhani and Dumitru Baleanu

Abstract and Applied Analysis, 2012, vol. 2012, 1-14

Abstract:

We discuss the existence and uniqueness of solution to nonlinear fractional order ordinary differential equations , with boundary conditions or satisfying the initial conditions , where denotes Caputo fractional derivative, is constant, and . Schauder's fixed-point theorem was used to establish the existence of the solution. Banach contraction principle was used to show the uniqueness of the solution under certain conditions on .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:632681

DOI: 10.1155/2012/632681

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