分数阶微分方程边值问题解的存在性及唯一性  

Existence and Uniqueness of Solutions for the Fractional Differential Equations

作　　者：华守亮[1] 吕志伟[1] 

机构地区：[1]安阳工学院数理系,河南安阳455000

出　　处：《河南大学学报（自然科学版）》2010年第5期453-455,共3页Journal of Henan University:Natural Science

基　　金：安阳工学院优秀青年骨干教师基金(200712)

摘　　要：研究了一类带有积分边值条件的分数阶微分方程两点边值问题.在一定条件下,利用压缩映像原理及Krasnoselskii不动点定理,得到了分数阶微分方程积分边值问题解的存在性及唯一性.This paper investigates a class of two-point boundary value problem for fractional differential equations with integral boundary value condition.By using the contraction mapping principle and Krasnoselskii fixed point theorem,existence and uniqueness of solutions for the fractional differential equations with integral boundary value problem are obtained.

关 键 词：分数阶微分方程 不动点定理 存在性 

分 类 号：O175.1[理学—数学]