Boundary Value Problems (Jan 2009)

Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

  • Nieto JuanJ,
  • Rodríguez-López Rosana,
  • Belmekki Mohammed

Journal volume & issue
Vol. 2009, no. 1
p. 324561

Abstract

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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.