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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年8月22日

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  • Said Rafa,
  • Abbes Benaissa

摘要

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.