Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion

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Abstract: In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is a consequence of a Gronwall-type inequality.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion ; volume:53 ; number:1 ; year:2020 ; pages:269-276 ; extent:8
Demonstratio mathematica ; 53, Heft 1 (2020), 269-276 (gesamt 8)

Creator: Villa-Morales, José

DOI: 10.1515/dema-2020-0021

URN: urn:nbn:de:101:1-2411181504263.019455116011

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:29 AM CEST

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Villa-Morales, José

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Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion

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