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General decay for laminated beams with structural memory and modified thermoelasticity of type III

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Abstract

This paper concerns the stability of thermoelastic laminated beams with structural memory, where the heat conduction is given by Green and Naghdi. We establish a general decay result for the system, where exponential and polynomial decay results are only special cases. Our result substantially improves earlier results in the literature.

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Acknowledgements

The first author thanks Badji Mokhtar University, Annaba, Algeria for the support. The second author appreciates University of Hafr Al-Batin (UHB) for continuous support.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Badji-Mokhtar University, PO Box.12, 23000, Annaba, Algeria

    Djellali Fayssal

  2. Department of Mathematics, University of Hafr Al-Batin (UHB), Hafr Al-Batin, 31991, Saudi Arabia

    Tijani A. Apalara

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  1. Djellali Fayssal
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  2. Tijani A. Apalara
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Correspondence to Djellali Fayssal.

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Fayssal, D., Apalara, T.A. General decay for laminated beams with structural memory and modified thermoelasticity of type III. Ann Univ Ferrara 69, 541–560 (2023). https://doi.org/10.1007/s11565-022-00451-4

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