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Polynomial stability of a piezoelectric beam with magnetic effect and a boundary dissipation of the fractional derivative type

Abstract This work studies the asymptotic behavior of a waves coupled system with a boundary dissipation of the fractional derivative type. We prove well-posedness and polynomial stability based on the… Click to show full abstract

Abstract This work studies the asymptotic behavior of a waves coupled system with a boundary dissipation of the fractional derivative type. We prove well-posedness and polynomial stability based on the semigroup approach, the energy method, and the result of stability.

Keywords: fractional derivative; polynomial stability; derivative type; stability; boundary dissipation; dissipation fractional

Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2023

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