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.

引用

页数：11

共 50 条

[21] Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay
Yan, Zuomao
Lu, Fangxia
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 557 - 577
[22] Explicit iteration to Hadamard fractional integro-differential equations on infinite domain
Wang, Guotao
Pei, Ke
Baleanu, Dumitru
Advances in Difference Equations, 2016,
[23] On approximate controllability of fractional stochastic neutral integro-differential inclusions with infinite delay
Yan, Zuomao
Lu, Fangxia
APPLICABLE ANALYSIS, 2015, 94 (06) : 1235 - 1258
[24] Controllability for a new class of fractional neutral integro-differential evolution equations with infinite delay and nonlocal conditions
Du, Jun
Jiang, Wei
Pang, Denghao
Niazi, Azmat Ullah Khan
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[25] Existence of mild solution for a class of coupled systems of neutral fractional integro-differential equations with infinite delay in Banach space
Liu, Juqing
Zhao, Kaihong
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[26] Existence of mild solution for a class of coupled systems of neutral fractional integro-differential equations with infinite delay in Banach space
Juqing Liu
Kaihong Zhao
Advances in Difference Equations, 2019
[27] Infinite delay fractional stochastic integro-differential equations with Poisson jumps of neutral type
R. Jahir Hussain
S. Satham Hussain
The Journal of Analysis, 2021, 29 : 833 - 859
[28] Controllability of Fractional Neutral Stochastic Integro-Differential Systems with Infinite Delay
Sun, Xichao
Yan, Litan
Cui, Jing
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[29] A STUDY OF NONLINEAR IMPULSIVE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
Alqurayqiri, Shahad o.
Alghanmi, Madeaha m.
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2025, 2025
[30] μ-Pseudo almost automorphic solutions of abstract fractional integro-differential neutral equations with an infinite delay
Hattab, Hechmi
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (07) : 2737 - 2745

← 1 2 3 4 5 →