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

[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.

[学科分类] 外科医学

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