Positive solutions for a singular fractional nonlocal boundary value problem

被引：4

作者：

Zhang, Luyao ^{[1
]}

Sun, Zhongmin ^{[2
]}

Hao, Xinan ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China

[2] Weifang Engineer Vocat Coll, Weifang, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Positive solution; Singular; Infinite-point fractional boundary condition; Fixed point index; DIFFERENTIAL-EQUATIONS; UNIQUENESS; EXISTENCE; SYSTEM; MODEL;

D O I：

10.1186/s13662-018-1844-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a singular fractional differential equation with an infinite-point fractional boundary condition, where the nonlinearity f (t, x) may be singular at x = 0, and g(t) may also have singularities at t = 0 or t = 1. We establish the existence of positive solutions using the fixed point index theory in cones.

引用

页数：8

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