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

Autor: Soufyane Bouriah, Mouffak Benchohra, Juan J. Nieto, Yong Zhou
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 7, Pp 12859-12884 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022712?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals