Study on the Existence of Solutions for a Class of Nonlinear Neutral Hadamard-Type Fractional Integro-Differential Equation with Infinite Delay

被引：12
作者：
Zhao, Kaihong [1 ]
Ma, Yue [1 ]
机构：
[1] Kunming Univ Sci & Technol, Dept Math, Kunming 650500, Yunnan, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 02期
关键词：
hadamard fractional derivative; neutral fractional equations; existence; infinite delay; fixed point theory; DIFFERENTIAL-EQUATIONS; INCLUSIONS; OPERATORS; SYSTEM;
D O I：
10.3390/fractalfract5020052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence of solutions for a class of nonlinear neutral Hadamard-type fractional integro-differential equations with infinite delay is researched in this paper. By constructing an appropriate normed space and utilizing the Banach contraction principle, Krasnoselskii's fixed point theorem, we obtain some sufficient conditions for the existence of solutions. Finally, we provide an example to illustrate the validity of our main results.
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页数：11
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