JournalszaaVol. 37, No. 3pp. 315–339

Energy Decay of Solutions to a Wave Equation with a Dynamic Boundary Dissipation of Fractional Derivative Type

  • Abbes Benaissa

    Djillali Liabes University, Sidi Bel Abbès, Algeria

  • Hanane Benkhedda

    Djillali Liabes University, Sidi Bel Abbès, Algeria
Energy Decay of Solutions to a Wave Equation with a Dynamic Boundary Dissipation of Fractional Derivative Type cover
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Abstract

We consider the wave equation with a dynamic boundary control condition of fractional derivative type. We study stability of the system using the semigroup theory of linear operators and a result obtained by Borichev and Tomilov.

Cite this article

Abbes Benaissa, Hanane Benkhedda, Energy Decay of Solutions to a Wave Equation with a Dynamic Boundary Dissipation of Fractional Derivative Type. Z. Anal. Anwend. 37 (2018), no. 3, pp. 315–339

DOI 10.4171/ZAA/1616