期刊论文详细信息
AIMS Mathematics | |
Ulam stability for nonlinear implicit differential equations with Hilfer-Katugampola fractional derivative and impulses | |
article | |
Soufyane Bouriah1  Mouffak Benchohra2  Juan J. Nieto3  Yong Zhou4  | |
[1] Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University;Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes;Departamento de Estatistica, Análise Matemática e Optimización, Instituto de Matemáticas, Universidade de Santiago de Compostela;Faculty of Mathematics and Computational Science, Xiangtan University;Nonlinear Analysis and Applied Mathematics ,(NAAM) Research Group, Faculty of Science King Abdulaziz University | |
关键词: Hilfer-Katugampola fractional derivative; initial value problem; existence; uniqueness; stability; fixed point; impulses; | |
DOI : 10.3934/math.2022712 | |
学科分类:地球科学(综合) | |
来源: AIMS Press | |
【 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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202302200001940ZK.pdf | 300KB | download |