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 |
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Format: | Artikel |
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. |
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ISSN: | 2473-6988 2473-6988 |
DOI: | 10.3934/math.2022712 |