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

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.

Bibliographic Details
Main Author: Villa-Morales José
Format: Article
Language:English
Published: De Gruyter 2020-10-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2020.53.issue-1/dema-2020-0021/dema-2020-0021.xml?format=INT