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

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:
parabolic partial differential equations
hyers-ulam stability
fractional laplacian
gronwall type inequalities
35b20
35b35
45h05
47h10
Online Access:http://www.degruyter.com/view/j/dema.2020.53.issue-1/dema-2020-0021/dema-2020-0021.xml?format=INT
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spelling doaj-a68d716c325747d6b6331aeb757a52272020-11-25T04:03:51ZengDe GruyterDemonstratio Mathematica2391-46612020-10-0153126927610.1515/dema-2020-0021dema-2020-0021Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusionVilla-Morales José0Universidad Autónoma de Aguascalientes, Departamento de Matemáticas y Física, Av. Universidad No. 940, Aguascalientes, Ags., MéxicoIn 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.http://www.degruyter.com/view/j/dema.2020.53.issue-1/dema-2020-0021/dema-2020-0021.xml?format=INTparabolic partial differential equationshyers-ulam stabilityfractional laplaciangronwall type inequalities35b2035b3545h0547h10
collection DOAJ
language English
format Article
sources DOAJ
author Villa-Morales José
spellingShingle Villa-Morales José
Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
Demonstratio Mathematica
parabolic partial differential equations
hyers-ulam stability
fractional laplacian
gronwall type inequalities
35b20
35b35
45h05
47h10
author_facet Villa-Morales José
author_sort Villa-Morales José
title Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
title_short Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
title_full Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
title_fullStr Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
title_full_unstemmed Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
title_sort hyers-ulam stability of a nonautonomous semilinear equation with fractional diffusion
publisher De Gruyter
series Demonstratio Mathematica
issn 2391-4661
publishDate 2020-10-01
description 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.
topic parabolic partial differential equations
hyers-ulam stability
fractional laplacian
gronwall type inequalities
35b20
35b35
45h05
47h10
url http://www.degruyter.com/view/j/dema.2020.53.issue-1/dema-2020-0021/dema-2020-0021.xml?format=INT
work_keys_str_mv AT villamoralesjose hyersulamstabilityofanonautonomoussemilinearequationwithfractionaldiffusion
_version_ 1724438998259073024

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