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

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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About the authors ▼
Khaleel Anaya
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
Salim A. Messaoudi (corresponding author)
https://orcid.org/0000-0003-1061-0075
University of Sharjah, Department of Mathematics, P.O. Box 27272, Sharjah, UAE
About the article ▼
Communicated by Mirosław Lachowicz.
Received: 2020-05-18.
Accepted: 2020-10-02.
Published online: 2020-12-01.
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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