U am stability for nonlinear implicit differential equations with Hilfer-Katugampola fractional derivative and impulses

被引：5
作者：
Bouriah, Soufyane [1 ]
Benchohra, Mouffak [2 ]
Nieto, Juan J. [3 ]
Zhou, Yong [4 ,5 ]
机构：
[1] Hassiba Benbouali Univ, Fac Exact Sci & Informat, Dept Math, POB 151, Chlef 02000, Algeria
[2] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[3] Univ Santiago De Compostela, Inst Matemat, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela, Spain
[4] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
[5] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Hilfer-Katugampola fractional derivative; initial value problem; existence; uniqueness; stability; fixed point; impulses; EXISTENCE;
D O I：
10.3934/math.2022712
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence, uniqueness and stability results for a class of nonlinear impulsive Hilfer-Katugampola problems. Our reasoning is founded on the Banach contraction principle and Krasnoselskii's fixed point theorem. In addition, an example is provided to demonstrate the effectiveness of the main results.
引用
收藏
页码：12859 / 12884
页数：26
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