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Article contents
Polynomial stability of a piezoelectric beam with magnetic effect and a boundary dissipation of the fractional derivative type
Part of:
Groups and semigroups of linear operators, their generalizations and applications
Equations of mathematical physics and other areas of application
Stability
Materials of strain-rate type and history type, other materials with memory
Published online by Cambridge University Press: 05 April 2023
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
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 66 , Issue 1 , February 2023 , pp. 23 - 53
- Copyright
- © The Author(s), 2023. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.
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