Existence of Periodic Solution for a Nonlinear Fractional Differential Equation
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Boundary Value Problems 2009, 2009:324561 doi:10.1155/2009/324561Published: 14 July 2009
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.