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arXiv · 2404.07997

Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law

Ibtissam Issa·Abdelaziz Soufyane·Octavio Vera Villagran
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Abstract

In this paper, we examine the stability of a heat-conducting copper rod and a magnetizable piezoelectric beam, with fractional damping affecting the longitudinal displacement of the piezoelectric material's centerline. We establish a polynomial stability result that is dependent on the order of the fractional derivative.

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Ibtissam Issa, Abdelaziz Soufyane, Octavio Vera Villagran. 2024-04-04. Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law. https://arxiv.org/abs/2404.07997

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