On positive solutions of fractional differential equations with change of sign

被引：2
|
作者：
Wang, Fanglei [1 ]
Zhang, Li [1 ]
Ru, Yuanfang [2 ]
Liu, Ronghua [1 ]
机构：
[1] Hohai Univ, Dept Math, Coll Sci, Nanjing, Jiangsu, Peoples R China
[2] China Pharmaceut Univ, Coll Sci, Nanjing 211198, Jiangsu, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Caputo's fractional derivative; cone; positive solution; uniqueness; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1002/mma.5619
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence and uniqueness of positive solutions of fractional differential equations with change of signD0+alpha(u ''(t))=h(t)f(u(t)),0<t<1,u(0)=u(1)=0,u ''(0)=u ''(1)=0,where 1 < alpha <= 2, h:[0,1]-> R is continuous and does not vanish identically on any subinterval of [0,1].
引用
收藏
页码：3900 / 3911
页数：12
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