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

Soufyane Bouriah, Mouffak Benchohra, Juan J. Nieto, Yong Zhou

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Source: Crossref

Published: Jan 1, 2022

DOI: 10.3934/math.2022712

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Source abstract

<abstract><p>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.</p></abstract>

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