Existence and uniqueness of solution for a class of nonlinear fractional differential equations

被引：0
作者：
Shichang Ma
Yufeng Xu
Wei Yue
机构：
[1] Central South University,School of Business
[2] Central South University,Department of Applied Mathematics
来源：
Advances in Difference Equations | / 2012卷
关键词：
nonlinear fractional differential equations; general irregular boundary conditions; existence; fixed-point theorem;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary condition in Banach space by using a fixed-point theorem and contraction mapping principle. Moreover, the boundary condition is extended, therefore, some conclusions from other references are special cases of our results.
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[11]  
Hinaje M(2009) with anti-periodic boundary conditions Math. Comput. Model 49 1164-1172
[12]  
Martin JP(2008)Existence and approximation of solutions to fractional differential equations Nonlinear Anal 69 3337-3343
[13]  
Raël S(2008)Theory of fractional functional differential equations Nonlinear Anal 69 2677-2682
[14]  
Davat B(2005)Basic theory of fractional differential equations J. Math. Anal. Appl 311 495-505
[15]  
Gupalo IP(2011)Positive solutions for boundary value problem of nonlinear fractional differential equation Comput. Math. Appl 61 191-202
[16]  
Novikov VA(2011)Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions Appl. Math. Comput 217 4740-4753
[17]  
Riazantsev IS(2003)Existence of a positive solution to a system of discrete fractional boundary value problems J. Math. Anal. Appl 278 434-442
[18]  
Magin RL(1965)Existence of positive solutions of nonlinear fractional differential equations J. Reine Angew. Math 218 70-78
[19]  
Ahmad B(2007)Some existence theorems on differential equations of generalized order J. Comput. Appl. Math 207 96-110
[20]  
Ahmad B(2006)Numerical approach to differential equations of fractional order Acta Math. Sci 26 220-228
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