Opuscula Math. 40, no. 6 (2020), 647-666

Opuscula Mathematica

General decay rate of a weakly dissipative viscoelastic equation with a general damping

Khaleel Anaya
Salim A. Messaoudi

Abstract. In this paper, we consider a weakly dissipative viscoelastic equation with a nonlinear damping. A general decay rate is proved for a wide class of relaxation functions. To support our theoretical findings, some numerical results are provided.

Keywords: general decay, relaxation function, viscoelastic, weakly dissipative equation.

Mathematics Subject Classification: 34G10, 35B40, 35L90, 45K05.

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  • Khaleel Anaya
  • ORCID iD https://orcid.org/0000-0001-5332-8067
  • King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics, P.O. Box 546, Dhahran 31261, Saudi Arabia
  • Communicated by Mirosław Lachowicz.
  • Received: 2020-05-18.
  • Accepted: 2020-10-02.
  • Published online: 2020-12-01.
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Cite this article as:
Khaleel Anaya, Salim A. Messaoudi, General decay rate of a weakly dissipative viscoelastic equation with a general damping, Opuscula Math. 40, no. 6 (2020), 647-666, https://doi.org/10.7494/OpMath.2020.40.6.647

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