吉林大学学报（理学版）
吉林大學學報（理學版）
길림대학학보（이학판）
JOURNAL OF JILIN UNIVERSITY(SCIENCE EDITION)
2015年
1期
21-26
,共6页
正解%积分边值问题%分数阶微分方程%不动点定理
正解%積分邊值問題%分數階微分方程%不動點定理
정해%적분변치문제%분수계미분방정%불동점정리
positive solution%integral boundary value problem%fractional differential equation%fixed point theory
利用锥拉伸和压缩不动点定理研究一类非线性分数阶微分方程积分边值问题，获得了其相应的格林函数及正解的存在性条件，并给出了应用实例。
利用錐拉伸和壓縮不動點定理研究一類非線性分數階微分方程積分邊值問題，穫得瞭其相應的格林函數及正解的存在性條件，併給齣瞭應用實例。
이용추랍신화압축불동점정리연구일류비선성분수계미분방정적분변치문제，획득료기상응적격림함수급정해적존재성조건，병급출료응용실례。
Using fixed point theory of cone expansion and compression of norm type,we investigated a class of boundary value problem for nonlinear fractional differential equation with integral conditions. The relevant Green function and some sufficient conditions on the existence of positive solutions were established.Some examples were given to illustrate the application of the result.
