| 分数阶微分方程非零边值问题解的存在性 |
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| 引用本文： | 王翠菁.分数阶微分方程非零边值问题解的存在性[J].湖南文理学院学报(自然科学版),2012(1):11-13. |
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| 作者姓名： | 王翠菁 |
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| 作者单位： | 中国矿业大学理学院;徐州工业职业技术学院信息管理技术学院 |
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| 摘 要： | 利用压缩映射原理和Krasnoselskii’s不动点定理,在Banach空间下讨论非线性分数阶微分方程非零边值问题D_(0+)~au(t)=f(t,u(t)),0t1;u(0)=u'(0),u(1)=βu(η)解的存在性,其中1α≤2是一个实数,D_(0+)~a是Caputo型微分.
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| 关 键 词： | 压缩映射原理 Caputo型微分 Krasnoselskii’s不动点定理 |
The existence of solutions for nonzero boundary value problem of fractional differential equations |
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| WANG Cui-jing.The existence of solutions for nonzero boundary value problem of fractional differential equations[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2012(1):11-13. |
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| Authors: | WANG Cui-jing |
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| Institution: | WANG Cui-jing1,2(1 College of Sciences,China University of Mining & Technology,Xuzhou 221008,China; 2 Information Management Technology Institute,Xuzhou College of Industrial Technology,Xuzhou 221140,China) |
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| Abstract: | By using the contraction mapping principle and Krasnoselskii’s fixed point theorem,we obtain the existence results in a Banach space for nonzero boundary value problem of fractional differential equation D0+au（t）=f（t,u（t））,00+a is a Caputo′s differentiation. |
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| Keywords: | contraction mapping principle Caputo′s differentiation Krasnoselskii’s fixed point theorem |
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