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

Demonstratio Mathematica

Villa-Morales José¹ 

[1] Universidad Autónoma de Aguascalientes, Departamento de Matemáticas y Física, Av. Universidad No. 940, Aguascalientes, Ags., México;

关键词: parabolic partial differential equations;    hyers-ulam stability;    fractional laplacian;    gronwall type inequalities;    35b20;    35b35;    45h05;    47h10;   

DOI  :  10.1515/dema-2020-0021

来源: DOAJ

【 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】

Unknown