Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

被引:141
作者
Belmekki, Mohammed [2 ]
Nieto, Juan J. [1 ]
Rodriguez-Lopez, Rosana [1 ]
机构
[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
[2] Univ Saida, Dept Math, Saida 20000, Algeria
关键词
BOUNDARY-VALUE-PROBLEMS; INCLUSIONS;
D O I
10.1155/2009/324561
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
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. Copyright (C) 2009 Mohammed Belmekki et al.
引用
收藏
页数:18
相关论文
共 26 条
[1]
AHMAD B, EXISTENCE RESULTS CO
[2]
Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions [J].
Ahmad, Bashir ;
Nieto, Juan J. .
BOUNDARY VALUE PROBLEMS, 2009,
[3]
[Anonymous], 1994, GEN FRACTIONAL CALCU
[4]
[Anonymous], 1993, INTRO FRACTIONAL CA
[5]
[Anonymous], 2006, Journal of the Electrochemical Society
[6]
Almost automorphic mild solutions to fractional differential equations [J].
Araya, Daniela ;
Lizama, Carlos .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) :3692-3705
[7]
BENCHOHRA M, COMPUTERS M IN PRESS
[8]
An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces [J].
Benchohra, Mouffak ;
Cabada, Alberto ;
Seba, Djamila .
BOUNDARY VALUE PROBLEMS, 2009,
[9]
Fractional differential equations as alternative models to nonlinear differential equations [J].
Bonilla, B. ;
Rivero, M. ;
Rodriguez-Germa, L. ;
Trujillo, J. J. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (01) :79-88
[10]
Existence of Solutions for Impulsive Neutral Integro-Differential Inclusions with Nonlocal Initial Conditions via Fractional Operators [J].
Chang, Yong-Kui ;
Nieto, Juan J. .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2009, 30 (3-4) :227-244