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

Autor: Issa, Ibtissam, Soufyane, Abdelaziz, Villagran, Octavio Vera
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: arXiv admin note: text overlap with arXiv:2204.00283, arXiv:2208.12012, arXiv:2102.07538 by other authors
Databáze: arXiv