<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this article, we consider a Lamé system with a delay term in the internal fractional feedback. We show the existence and uniqueness of solutions by means of the semigroup theory under a certain condition between the weight of the delay term in the fractional feedback and the weight of the term without delay. Furthermore, we show the exponential stability by the classical theorem of Gearhart, Huang and Pruss.</p>
</abstract>

In this article, we consider a Lamé system with a delay term in the internal fractional feedback. We show the existence and uniqueness of solutions by means of the semigroup theory under a certain condition between the weight of the delay term in the fractional feedback and the weight of the term without delay. Furthermore, we show the exponential stability by the classical theorem of Gearhart, Huang and Pruss.

Stability result of the Lamé system with a delay term in the internal fractional feedback

Laboratory of Analysis and Control of PDEs

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this article, we consider a Lamé system with a delay term in the internal fractional feedback. We show the existence and uniqueness of solutions by means of...

Stability result of the Lamé system with a delay term in the internal fractional feedback

Published Online: Dec 30, 2021

Page range: 336 - 355

DOI: https://doi.org/10.2478/ausm-2021-0021

Keywords
Lamé system, fractional delay term, uniform stability, semigroup theory

© 2021 Abbes Benaissa et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Stability result of the Lamé system with a delay term in the internal fractional feedback

Published Online: Dec 30, 2021

Page range: 336 - 355

DOI: https://doi.org/10.2478/ausm-2021-0021

KeywordsLamé system, fractional delay term, uniform stability, semigroup theory

© 2021 Abbes Benaissa et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Lamé system, fractional delay term, uniform stability, semigroup theory