%0 Journal Article
%T 高阶非线性分数阶微分方程系统的多个正解<br>Multiple positive solutions of a system of high order nonlinear fractional differential equations
%A 冯海星
%A 翟成波&lt
%A br&gt
%A FENG Hai-xing
%A ZHAI Cheng-bo
%J 山东大学学报（理学版）
%D 2017
%R 10.6040/j.issn.1671-9352.0.2017.380
%X 摘要： 研究了一类具有积分边值条件的高阶非线性分数阶微分方程系统多个正解的存在性,主要运用Leggett-Williams不动点定理及Krasnoselskii锥上的不动点相关定理得出了该系统存在两个或三个正解的结果。<br>Abstract: The existence of multiple positive solutions for a system of high-order nonlinear fractional differential equations is studied. Two or three positive solutions are obtained for the system by using Leggett-Williams fixed point theorem and Krasnoselskiion cone
%K 分数阶微分方程系统
%K Leggett-Williams不动点定理
%K 积分边值条件
%K 正解
%K &lt
%K br&gt
%K integral boundary value conditions
%K positive solution
%K Leggett-Williams fixed point theorem
%K the system of fractional order differential equation
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.380