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Open Access Research Article

Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

Mohammed Belmekki1, JuanJ Nieto2 and Rosana Rodríguez-López2*

Author affiliations

1 Département de Mathématiques, Université de Saïda, BP 138, 20000 Saïda, Algeria

2 Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain

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Citation and License

Boundary Value Problems 2009, 2009:324561  doi:10.1155/2009/324561

Published: 14 July 2009

Abstract

We study the existence of solutions for a class of fractional differential equations. Due to the singularity of the possible solutions, we introduce a new and proper concept of periodic boundary value conditions. We present Green's function and give some existence results for the linear case and then we study the nonlinear problem.