Dynamics of Fractional Delayed Reaction-Diffusion Equations

被引：1
|
作者：
Liu, Linfang [1 ]
Nieto, Juan J. [2 ]
机构：
[1] Northwest Univ, Dept Math, Xian 710127, Peoples R China
[2] Univ Santiago Compostela, Dept Analise Matemat Estat & Optimizac, Santiago De Compostela 15782, Spain
来源：
ENTROPY | 2023年 / 25卷 / 06期
关键词：
fractional reaction-diffusion equations; bounded variable delay; generalized fractional derivative; generalized comparison principal; global attracting sets; DIFFERENTIAL-EQUATIONS; CAPUTO-TYPE; DISSIPATIVITY; INEQUALITIES; DERIVATIVES;
D O I：
10.3390/e25060950
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：15
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