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

Demonstratio mathematica

article

José Villa-Morales¹ 

[1] Universidad Autónoma de Aguascalientes, Av. Universidad No. 940

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

DOI  :  10.1515/dema-2020-0021

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY