分数阶微分方程边值问题正解的唯一性(英文)  

Unique Positive Solution of Boundary Value Problem for Fractional Differential Equations

作　　者：杨柳[1,2] 陈海波[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008 [2]中南大学数学科学与计算技术学院,湖南长沙410075

出　　处：《生物数学学报》2011年第1期43-47,共5页Journal of Biomathematics

基　　金：The National Natural Science Foundation of China(no.10871206);Cultivation to Young Teacher Foundation of Hengyang Normal University(2008)

摘　　要：分数阶微分方程在生物科学和其他领域发挥着重要作用.考虑来类分数阶微分方程边值问题正解的这来性,得到的结证不仅可以保证正解的存在这来,而且可以用于构造迭代序列来逼近这个解.Fractional differential equations play an important role in biological sciences and other fields.In this paper,we consider the uniqueness of positive solution for boundary value problem of fractional differential equation.Our results can not only guarantee the existence of unique positive solution,but also be applied to construct an iterative schemes to approximate it.

关 键 词：Riemann-Liouville导数 分数阶微分方程 正解 

分 类 号：O175.12[理学—数学]