| 一类分数阶微分方程多点边值问题解的存在性和唯一性 |
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| 引用本文： | 张福珍,张金陵. 一类分数阶微分方程多点边值问题解的存在性和唯一性[J]. 湖南文理学院学报(自然科学版), 2011, 0(2): 13-15,18 |
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| 作者姓名： | 张福珍 张金陵 |
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| 作者单位： | 中国矿业大学理学院;九州职业技术学院高等数学教研室;徐州高等师范学校数学教研室; |
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| 摘 要： | 研究了一类分数阶微分方程多点边值解的存在性.在一定条件下,通过利用Banach压缩映像原理以及Krasnoselskii不动点定理,得到了其边值问题解的存在性及唯一性,并举出一个例子说明定理的适用性.
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| 关 键 词： | 分数阶微分方程 边值问题 不动点定理 存在唯一性 |
Existence and uniqueness results for multi-point boundary value problem of fractional-order differential equations |
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| ZHANG Fu-zhen,ZHANG Jin-ling. Existence and uniqueness results for multi-point boundary value problem of fractional-order differential equations[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2011, 0(2): 13-15,18 |
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| Authors: | ZHANG Fu-zhen ZHANG Jin-ling |
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| Affiliation: | ZHANG Fu-zhen1,2,ZHANG Jin-ling1,3(1.College of Science,China University of Mining & Technology,Xuzhou 221008,China,2.Advanced Math Teaching and Research Office,Jiuzhou College of Vocational & Technology,Xuzhou 221116,3.Math Teaching and Research Office,Xuzhou Normal School,China) |
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| Abstract: | This paper discusses the existence results of multi-point boundary value problem for fractional differential equation.By the Banach contraction mapping principle and Krasnoselskii fixed point theorem,existence and uniqueness of solutions for the fractional differential equations with integral boundary value problem are obtained,in the end,we give an example to illustrate our theorem. |
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| Keywords: | fractional differential equation boundary value problem fixed-point theorem existence and uniqueness of solutions |
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