Dissipativity and stability for semilinear anomalous diffusion equations involving delays

We analyze the dissipativity and stability of solutions to a class of semilinear anomalous diffusion equations involving delays. The existence of absorbing set, the stability, and weak stability will be shown under suitable assumptions on the nonlinearity. Our analysis is based on new Halanay‐type i...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2020-10, Vol.43 (15), p.8449-8465
Main Authors: Dinh Ke, Tran, Tran Phuong Thuy, Lam
Format: Article
Language:English
Subjects:
anomalous diffusion
dissipativity
Mathematical analysis
nonlocal PDE
Stability analysis
weakly asymptotic stability
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Summary:We analyze the dissipativity and stability of solutions to a class of semilinear anomalous diffusion equations involving delays. The existence of absorbing set, the stability, and weak stability will be shown under suitable assumptions on the nonlinearity. Our analysis is based on new Halanay‐type inequality, local estimates, and fixed‐point arguments.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6497