分数阶微分方程m点边值问题正解的存在性  

Existence of Positive Solution to m-point Boundary Value Problem of Nonlinear Fractional Differential Equations

作　　者：田元生[1] 

机构地区：[1]湘南学院数学系,郴州423000

出　　处：《应用泛函分析学报》2012年第3期274-281,共8页Acta Analysis Functionalis Applicata

基　　金：湖南省自然科学基金(11JJ3309);湖南省教育厅科研项目(11C1187);湖南省重点建设学科项目

摘　　要：应用凸锥上的不动点定理,讨论了一类分数阶微分方程m点边值问题正解的存在性,得到了这类边值问题至少存在一个正解的充分条件,并给出了一个实例.In this paper, we study the existence of positive solution to m-point boundary value problem of nonlinear fractional differential equations. By using some fixed-point theorem on a convex cone, the existence results of positive solution to m-point boundary value problem of nonlinear fractional differential equations are obtained. In addition, an example is included to demonstrate the main result.

关 键 词：分数阶微分方程 M点边值问题 不动点定理 正解 

分 类 号：O175.8[理学—数学]