周口师范学院学报
週口師範學院學報
주구사범학원학보
Journal of Zhoukou Normal University
2013年
5期
25~28
,共null页
分数阶微分方程 耦合系统 边值问题 Schauder不动点定理
分數階微分方程 耦閤繫統 邊值問題 Schauder不動點定理
분수계미분방정 우합계통 변치문제 Schauder불동점정리
fractional differential equation ~ coupled system;boundary value problem; Schauder fixed point theorem
讨论了一类非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将微分系统转化为等价的积分系统，应用Schauder不动点定理证明了系统的解的存在性．
討論瞭一類非線性分數階微分方程耦閤繫統的兩點邊值問題，應用Green函數，將微分繫統轉化為等價的積分繫統，應用Schauder不動點定理證明瞭繫統的解的存在性．
토론료일류비선성분수계미분방정우합계통적량점변치문제，응용Green함수，장미분계통전화위등개적적분계통，응용Schauder불동점정리증명료계통적해적존재성．
This article investigated the two-point boundary value problem to a coupled system of nonlinear fractional dif- ferential equations. By the means of the Green＇s function,the boundary value problem of differential equation can be reduced to the equivalent integral equation. The existence of solution was obtained by using Schauder fixed point theorem.
