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

AIMS Mathematics

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