@article{Bouriah2022, 
author = {Soufyane Bouriah and Mouffak Benchohra and Juan J. Nieto and Yong Zhou},
title = {Ulam stability for nonlinear implicit differential equations with Hilfer-Katugampola fractional derivative and impulses},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {12859-12884},
keywords = {Hilfer-Katugampola fractional derivative, initial value problem, existence, uniqueness, stability, fixed point, impulses},
url = {https://www.sciopen.com/article/10.3934/math.2022712},
doi = {10.3934/math.2022712},
abstract = {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.}
}