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.
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页数：8
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