一类高阶分数阶微分方程多点非齐次边值问题的正解  

Positive Solutions for Multi-points Nonhomogeneous Boundary Value Problem of Higher Order Fractional Differential Equations

作　　者：何希萍[1] 

机构地区：[1]甘肃广播电视大学理工学院,甘肃兰州730030

出　　处：《河西学院学报》2016年第2期47-53,37,共8页Journal of Hexi University

基　　金：甘肃广播电视大学科研项目(2014-YB-01)

摘　　要：研究了一类高阶分数阶微分方程多点非齐次边值问题,导出了相应边值问题的Green函数,并讨论了其性质.利用Krasnosel’skii不动点定理和Schauder不动点定理研究了其正解的存在性.A class of multi-points nonhomogeneous boundary value problem of higher order fractional differential equations are investigated,we first give its Green＇s function and discuss its property,then the establish existence criteria of positive solutions by means of Krasnosel＇ skii fixed point theorem and Lerayestablish existence criteria of positive Schauder fixed point theorem.

关 键 词：分数阶微分方程 边值问题 正解 非齐次 存在性 

分 类 号：O175.14[理学—数学]