Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

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2009_bvp_belmekki_existence.pdf (236.18 KB)
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URI: http://hdl.handle.net/10347/22853
ISSN: 1687-2762
E-ISSN: 1687-2770
DOI: 10.1155/2009/324561

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2009

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SpringerOpen
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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.

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Periodic Boundary| Fractional Derivative| Fractional Calculus| Fractional Differential Equation| Differential Calculus

Bibliographic citation

Belmekki, M., Nieto, J. & Rodríguez-López, R. Existence of Periodic Solution for a Nonlinear Fractional Differential Equation. Bound Value Probl 2009, 324561 (2009). https://doi.org/10.1155/2009/324561

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The research of J. J. Nieto and R. Rodríguez-López has been partially supported by Ministerio de Educacion y Ciencia and FEDER, project MTM2007-61724, and by Xunta de Galicia and FEDER, project PGIDIT06PXIB207023PR

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Copyright © 2009 Mohammed Belmekki et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Estatística, Análise Matemática e Optimización