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Open Access Research Article

Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions

Anping Chen12* and Yi Chen2

Author Affiliations

1 Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, China

2 School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411005, China

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Boundary Value Problems 2011, 2011:516481  doi:10.1155/2011/516481

Published: 14 March 2011

Abstract

We study a boundary value problem to Langevin equation involving two fractional orders. The Banach fixed point theorem and Krasnoselskii's fixed point theorem are applied to establish the existence results.