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

Authors :
Bouriah, Soufyane
Benchohra, Mouffak
Nieto, Juan J.
Yong Zhou
Source :
AIMS Mathematics (2473-6988); Jul2022, Vol. 7 Issue 7, p12859-12884, 26p
Publication Year :
2022

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24736988
Volume :
7
Issue :
7
Database :
Complementary Index
Journal :
AIMS Mathematics (2473-6988)
Publication Type :
Academic Journal
Accession number :
157092541
Full Text :
https://doi.org/10.3934/math.2022712