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一类分数阶微分方程四点边值问题解的唯一性
引用本文:姜家风,胡卫敏. 一类分数阶微分方程四点边值问题解的唯一性[J]. 伊犁师范学院学报(自然科学版), 2014, 0(2): 6-9
作者姓名:姜家风  胡卫敏
作者单位:[1]福建省厦门市科技中学,福建厦门361005 [2]伊犁师范学院数学与统计学院,新疆伊宁835000
基金项目:新疆维吾尔自治区自然科学基金项目(201318101-14).
摘    要:
研究了一类分数阶微分方程四点边值问题解的唯一性,利用Banach压缩映像原理,得到了边值问题存在唯一解的充分条件。

关 键 词:分数阶微分方程  四点边值问题  Banach压缩映像原理

Uniqueness of Solutions for the Four-point Boundary Value Problem ofFractional Differential Equations
JIANG Jia-feng,HU Wei-min. Uniqueness of Solutions for the Four-point Boundary Value Problem ofFractional Differential Equations[J]. Journal of Ili Normal University, 2014, 0(2): 6-9
Authors:JIANG Jia-feng  HU Wei-min
Affiliation:1.Xiamen Municipal Science and Technology School Xiamen, Guangdong 361005, China; 2.School Mathematics and Statistics, Yili Normal University, Yining, Xinjiang 835000,China)
Abstract:
We considered uniqueness of solution for a class of fractional four-point boundary value problems. In the light of Banach contraction mapping principle, some sufficient conditions are obtained to gurantee the uniqueness of solution for the fractional boundary value problems.
Keywords:Fractional differential equations  Four-point boundary value problems  Banach contraction mapping principle
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