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
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.
引用
收藏
页数:12
相关论文
共 108 条
[1]   Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola-Caputo Fractional Derivative [J].
Ahmad, Manzoor ;
Jiang, Jiqiang ;
Zada, Akbar ;
Shah, Syed Omar ;
Xu, Jiafa .
COMPLEXITY, 2020, 2020
[2]   A new simultaneous iterative method with a parameter for solving the extended split equality problem and the extended split equality fixed point problem [J].
Che, Haitao ;
Chen, Haibin ;
Li, Meixia .
NUMERICAL ALGORITHMS, 2018, 79 (04) :1231-1256
[3]   Continuous Dependence of Solutions of Integer and Fractional Order Non-Instantaneous Impulsive Equations with Random Impulsive and Junction Points [J].
Chen, Yu ;
Wang, JinRong .
MATHEMATICS, 2019, 7 (04)
[4]   Monotone iterative method for differential systems with coupled integral boundary value problems [J].
Cui, Yujun ;
Zou, Yumei .
BOUNDARY VALUE PROBLEMS, 2013,
[5]  
Deimling K., 1985, NONLINEAR FUNCTIONAL, DOI DOI 10.1007/978-3-662-00547-7
[6]   Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities [J].
Ding, Youzheng ;
Jiang, Jiqiang ;
O'Regan, Donal ;
Xu, Jiafa .
COMPLEXITY, 2020, 2020
[7]  
FECKAN M, 2020, MATHEMATICS BASEL, V0008, DOI DOI 10.3390/math8030446
[8]   Note on weakly fractional differential equations [J].
Feckan, Michal ;
Pospisil, Michal ;
Wang, JinRong .
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[9]   Traveling wave solutions for fractional partial differential equations arising in mathematical physics by an improved fractional Jacobi elliptic equation method [J].
Feng, Qinghua ;
Meng, Fanwei .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (10) :3676-3686
[10]   Condensed-matter physics - Singular behaviour [J].
Fisk, Z .
NATURE, 2003, 424 (6948) :504-505