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

• Autorzy: Villa-Morales José

Identyfikatory

DOI

10.1515/dema-2020-0021

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

parabolic partial differential equations; Hyers-Ulam stability; fractional Laplacian; Gronwall type inequalities

PL

paraboliczne cząstkowe równanie różniczkowe; stabilność Ulama-Hyersa; operator różniczkowy; nierówność Gronwalla

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 269--276
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Villa-Morales José

• Universidad Autónoma de Aguascalientes, Departamento de Matemáticas y Física, Av. Universidad No. 940, Aguascalientes, Ags., México

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).