Fractional derivative boundary control in coupled Euler-Bernoulli beams: stability and discrete energy decay

Fractional derivative boundary control in coupled Euler-Bernoulli beams: stability and discrete energy decay

This paper analyzes an Euler-Bernoulli beam equation in a bounded domain with a boundary control condition involving a fractional derivative. By utilizing the semigroup theory of linear operators and building on the results of Borichev and Tomilov, the stability properties of the system are examined...

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Bibliographic Details
Main Authors: Boumediene Boukhari, Foued Mtiri, Ahmed Bchatnia, Abderrahmane Beniani
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
euler-bernoulli beam equation
dynamic boundary dissipation of fractional derivative type
frequency domain method
strong stability
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241541?viewType=HTML
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