Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order

被引：0
作者：
Fang Wang
Zhenhai Liu
机构：
[1] Central South University,School of Mathematical Science and Computing Technology
[2] Changsha University of Science and Technology,School of Mathematics and Computing Science
[3] Guangxi University for Nationalities,School of Mathematics and Computer Science
来源：
Advances in Difference Equations | / 2012卷
关键词：
fractional differential equations; boundary value problem; anti-periodic; fixed point theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By using Schauder’s fixed point theorem and the contraction mapping principle, we discuss the existence of solutions for nonlinear fractional differential equations with fractional anti-periodic boundary conditions. Some examples are given to illustrate the main results.
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[1]  
Laksmikantham V(2009)Nagumo-type uniqueness result for fractional differential equations Nonlinear Anal 8 2886-2889
[2]  
Leela S(2009)Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions Comput. Math. Appl 58 1838-1843
[3]  
Ahmad B(2005)Positive solutions of boundary value problems of nonlinear fractional differential equation J. Math. Anal. Appl 311 495-505
[4]  
Nieto JJ(2009)Some new existence results for fractional differential inclusions with boundary conditions Math. Comput. Model 49 605-609
[5]  
Bai ZB(2010)Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations Comput. Math. Appl 59 1363-1375
[6]  
Lü HS(2010)Nonlocal Cauchy problem for fractional evolution equations Nonlinear Anal 11 4465-4475
[7]  
Chang YK(2010)Impulsive differential inclusions with fractional order Comput. Math. Appl 59 1191-1226
[8]  
Nieto JJ(2011)Anti-periodic fractional boundary value problems Comput. Math. Appl 62 1150-1156
[9]  
Li CF(2004)Ordinary differential equations with nonlinear boundary conditions of antiperiodic type Comput. Math. Appl 47 1419-1428
[10]  
Luo XN(2003)Anti-periodic boundary value problem for nonlinear first order ordinary differential equations Math. Inequal. Appl 6 477-485
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