Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

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 an...

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Detalles Bibliográficos
Autores: Belmekki, Mohammed, Nieto Roig, Juan José, Rodríguez López, Rosana
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/22853
Acceso en línea:http://hdl.handle.net/10347/22853
Access Level:acceso abierto
Descripción
Sumario: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.