Dynamics of Fractional Delayed Reaction-Diffusion Equations-Reference-Cited by-同舟云学术

Dynamics of Fractional Delayed Reaction-Diffusion Equations

Published:2023-06-16 Issue:6 Volume:25 Page:950
ISSN:1099-4300
Container-title:Entropy
language:en
Short-container-title:Entropy

Author:

Liu Linfang¹,Nieto Juan J.²^ORCID

Affiliation:

1. Department of Mathematics, Northwest University, Xi’an 710127, China

2. Departamento de Análise Matemática, Estatística e Optimización, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Abstract

The long-term behavior of the weak solution of a fractional delayed reaction–diffusion equation with a generalized Caputo derivative is investigated. By using the classic Galerkin approximation method and comparison principal, the existence and uniqueness of the solution is proved in the sense of weak solution. In addition, the global attracting set of the considered system is obtained, with the help of the Sobolev embedding theorem and Halanay inequality.

Funder

Natural Science Foundation of China

Scientific Research Foundation of Northwest University

Agencia Estatal de Investigación (AEI) of Spain

European Community Regional Development Fund (FEDER) and by Xunta de Galicia

Publisher

MDPI AG

Subject

General Physics and Astronomy

Link

https://www.mdpi.com/1099-4300/25/6/950/pdf

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