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On the stability of swelling porous elastic soils with a single internal fractional damping

  • Said Rafa [1] ; Abbes Benaissa [1]
    1. [1] Laboratory of Analysis and Control of PDEs, Djillali Liabes University
  • Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 83, Nº. 3, 2026, págs. 551-572
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • In this paper, we study the well-posedness and polynomial stability to the one-dimensional system in the linear isothermal theory of swelling porous elastic soils with internal damping of fractional derivative type. We prove well-posedness by using the semigroup theory. Also we establish an optimal decay result by frequency domain method and Borichev-Tomilov theorem.


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