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

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...

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Veröffentlicht in:AIMS mathematics 2022-05, Vol.7 (7), p.12859-12884
Hauptverfasser: Bouriah, Soufyane, Benchohra, Mouffak, Nieto, Juan J., Zhou, Yong
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Sprache:eng
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Zusammenfassung: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022712