Energy decay for a porous system with a fractional operator in the memory

In this work, we examine a porous-elastic system with a fractional operator incorporated in the memory term, which acts exclusively on one equation within the system. Under appropriate conditions on the polynomially decreasing kernels of the memory type, we establish the result of polynomial decay.

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Publication Details

Journal
Electronic Research Archive
Published
2025-01-01
DOI
https://doi.org/10.3934/era.2025096
Primary Topic
Thermoelastic and Magnetoelastic Phenomena
Type
article
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article

Energy decay for a porous system with a fractional operator in the memory

Chahrazed Messikh, Foued Mtiri, Ahmed Bchatnia, Soraya Labidi
Electronic Research Archive
Thermoelastic and Magnetoelastic Phenomena
article

Energy decay for a porous system with a fractional operator in the memory

Chahrazed Messikh, Foued Mtiri, Ahmed Bchatnia, Soraya Labidi
article en

Abstract

In this work, we examine a porous-elastic system with a fractional operator incorporated in the memory term, which acts exclusively on one equation within the system. Under appropriate conditions on the polynomially decreasing kernels of the memory type, we establish the result of polynomial decay.

Electronic Research ArchiveVol. 33(4)
Tunis University (TN), Badji Mokhtar-Annaba University (DZ), Tunis El Manar University (TN), King Khalid University (SA)
Affordable and clean energy
Openalex Percentile: Top 91%
Thermoelastic and Magnetoelastic Phenomena
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