| 一类分数阶微分方程边值问题解的存在性 |
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| 引用本文： | 王翠菁,张金陵.一类分数阶微分方程边值问题解的存在性[J].黑龙江科技学院学报,2011,21(4):333-336. |
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| 作者姓名： | 王翠菁 张金陵 |
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| 作者单位： | 中国矿业大学理学院,江苏徐州,221116 |
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| 摘 要： | 利用Krasnoselskiis不动点定理,研究非线性分数阶微分方程D0α＋u（t）=λa（t）f（t,u（t）,u＇（t））,0
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| 关 键 词： | 不动点定理 Caputo型微分 特征值 |
Existence of positive solutions for boundary value problem of fractional differential equations |
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| WANG Cuijing,ZHANG Jinling.Existence of positive solutions for boundary value problem of fractional differential equations[J].Journal of Heilongjiang Institute of Science and Technology,2011,21(4):333-336. |
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| Authors: | WANG Cuijing ZHANG Jinling |
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| Institution: | WANG Cuijing1,2,ZHANG Jinling1,3(1.College of Sciences,China University of Mining & Technology,Xuzhou 221116,China,2.Information Management Technology Institute,Xuzhou College of Industrial Technology,Xuzhou 221140,3.Department of Mathematics,Xuzhou Higher Normal School,China) |
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| Abstract: | This paper describes the use of Krasnoselskiis fixed point theorem for study on the eigenvalue intervals of this fractional differential equation Dα0＋u（t）=λa（t）f（t,u（t）,u′（t））,0t1 u（0）＋u″（0）=0,u（1）＋u″（1）=0,u′（0）=0 Where 2α≤3 is a real number,and Dα0＋ is a Caputo′s differentiation.The existence and nonexistence of positive solutions for the fractional boundary value problem are obtained. |
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| Keywords: | fixed point theorem Caputo′s differentiation beigenvalue |
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