Solutions for a Singular Hadamard-Type Fractional Differential Equation by the Spectral Construct Analysis

被引：14
作者：
Zhang, Xinguang [1 ,2 ]
Yu, Lixin [1 ]
Jiang, Jiqiang [3 ]
Wu, Yonghong [2 ]
Cui, Yujun [4 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[4] Shandong Univ Sci & Technol, Dept Math, Qingdao 266590, Shandong, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷
基金：
中国国家自然科学基金;
关键词：
SCHRODINGER-POISSON SYSTEM; ITERATIVE LEARNING CONTROL; BLOW-UP SOLUTIONS; POSITIVE SOLUTIONS; MULTIPLE SOLUTIONS; RADIAL SOLUTIONS; EXISTENCE; STABILITY; NONEXISTENCE; MODEL;
D O I：
10.1155/2020/8392397
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence of positive solutions for a Hadamard-type fractional differential equation with singular nonlinearity. By using the spectral construct analysis for the corresponding linear operator and calculating the fixed point index of the nonlinear operator, the criteria of the existence of positive solutions for equation considered are established. The interesting point is that the nonlinear term possesses singularity at the time and space variables.
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页数：12
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