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

页码：3900 / 3911

页数：12

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