Existence of Periodic Solution for a Nonlinear Fractional Differential Equation. (14th July 2009)

• Record Type: Journal Article
• Authors: Belmekki, Mohammed; Nieto, Juan J.; Rodríguez-López, Rosana
• Other Names: O'Regan Donal Academic Editor.
• Is Part Of: Boundary value problems. Volume 2009(2009)
• Publication Date: 2009-07-14
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2009/324561
• Languages: English
• ISSNs: 1687-2762

Abstract

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.