具有高阶分数阶导数的微分方程的积分型边值问题的正解探讨（英文）  

Positive Solutions to Integral Boundary Value Problem of Nonlinear Differential Equations with Higher Fractional Order

作　　者：郑艳萍[1] 王文霞[1] 刘宇民[1] 

机构地区：[1]太原师范学院数学系,山西太原030012

出　　处：《宁夏大学学报（自然科学版）》2015年第3期219-224,共6页Journal of Ningxia University(Natural Science Edition)

基　　金：Supported by the National Natural Science Foundation of China(11361047);supported by the Research Project of Shanxi Scholarship Council of China(2013-102);supported by the Natural Science Foundation of Shanxi Province(2013011001-3)~~

摘　　要：应用Guo-Krasonselskii不动点定理,探讨了非线性分数阶微分方程包括Riemann-Liouville型导数的积分型边值问题正解的存在性.By using the Guo-Krasnoselskii fixed point theorem,the existence of positive solutions for nonlinear fractional differential equations involving the Riemann-Liouville derivative with integral boundary-value conditions are investigated.

关 键 词：分数阶微分方程 积分型边值条件 正解 超(次)线性条件 

分 类 号：O175.6[理学—数学] O175.8[理学—基础数学]