Dissipativity and stability for semilinear anomalous diffusion equations involving delays |
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| Authors: | Tran Dinh Ke Lam Tran Phuong Thuy |
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| Institution: | 1. Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam;2. Department of Mathematics, Electric Power University, Hanoi, Vietnam |
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| Abstract: | 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. |
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| Keywords: | anomalous diffusion dissipativity nonlocal PDE weakly asymptotic stability |
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