一类带积分边值条件的非线性分数阶微分方程的正解（英文）  

Positive solutions for nonlinear fractional differential equations with integral boundary value conditions

作　　者：薛益民[1] 苏莹[1] 苏有慧[1] XUE Yi-Min, SU Ying , SU You-Hui(School of Mathematics and Physical Science, Xuzhou Institute of Technology, Xuzhou 221018, Chin)

机构地区：[1]徐州工程学院数学与物理科学学院,徐州221018

出　　处：《四川大学学报（自然科学版）》2018年第2期251-256,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(11301454);国家自然科学基金天元基金(11526177);江苏省自然科学基金(BK20151160);江苏省高校自然科学基金(14KJB110025);安徽省教育厅重点项目基金(KJ2017A839)

摘　　要：利用Green函数的性质和Schauder不动点定理,本文研究一类带积分边值条件的非线性Caputo型分数阶微分方程边值问题,得到该边值问题正解的存在性定理,推广了相关结果,并举例说明了主要结果的适用性.We studied the existence of positive solutions for nonlinear Caputo fractional differential equa- tions with integral boundary value conditions. The existence results of positive solutions for the bounda- ry value problems are obtained by applying the properties of Green function and Schauder fixed point theorem, which partly extend the corresponding results of fractional differential equations. Two exam- ples are also presented to illustrate the applications of the main results.

关 键 词：分数阶微分方程 积分边值条件 正解 不动点定理 

分 类 号：O175.8[理学—数学]