一类分数阶奇异微分方程积分边值问题正解的存在性  

The existence of positive solutions for a class of fractional singular differential equations with integral boundary conditions

作　　者：王晓[1] 刘锡平[1] 邓雪静 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《纯粹数学与应用数学》2015年第5期509-517,共9页Pure and Applied Mathematics

基　　金：国家自然科学基金(11171220);沪江基金(B14005)

摘　　要：研究一类具有Riemann-Liouville导数的分数阶奇异微分方程积分边值问题的可解性.运用Guo-Krasnoselskii不动点定理,得到了奇异微分方程积分边值问题正解的存在性定理.最后,给出了一个实例,用于说明所得结论的有效性.This paper investigates the solvability for a class of fractional singular differential equations involving the Riemann-Liouville fractional derivative with integral boundary conditions. By means of Guo-Krasnoselskii fixed point theorem, the existence theorems of positive solutions for the boundary value problem are established Finally, an example is presented to illustrate the main results

关 键 词：分数阶奇异微分方程 积分边值问题 正解 不动点定理 

分 类 号：O175.8[理学—数学]