有限区间上Caputo分数阶微分方程边值问题的正解  

Existence of Positive Solutions for a Class of Nonlinear Fractional Differential Equations with Boundary Value Problems

作　　者：廖秀 韦煜明 冯春华 LIAO Xiu;WEI Yu-ming;FENG Chun-hua(Institute of Information Technology of GUET,Guilin 541004,China)

机构地区：[1]桂林电子科技大学信息科技学院,广西桂林541004

出　　处：《广西师范学院学报（自然科学版）》2018年第3期7-12,共6页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：国家自然科学基金(11361010);广西自然科学基金项目(2014GXNSFAA118002);广西研究生教育创新计划项目(YCSW2017080)

摘　　要：主要研究非线性Caputo分数阶微分方程边值问题的正解,通过Green函数有关的不等式,利用Krasnoselskii-Zabreiko不动点定理证明了正解存在.This paper is concerned with the existence of positive solutions for nonlinear fractional differential equations with boundary value problems.The existence of solutions is derived from the Green's properties and Krasnoselskii-Zabreiko fixed point theorem.

关 键 词：分数阶微分方程 边值问题 Krasnoselskii-Zabreiko不动点定理 正解 

分 类 号：O175.1[理学—数学]