Articles

A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM

  • Abderrahmane YOUKANA ,
  • Salim A. MESSAOUDI ,
  • Aissa GUESMIA
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  • 1. Department of Mathematics, University of Batna 2, Batna 05078, Algeria;
    2. Department of Mathematics and Statistics, KFUPM, Dhahran 31261, Saudi Arabia;
    3. Elie Cartan Institute of Lorraine, Université de Lorraine, 3 Rue Augustin Fresnel, BP 45112, 57073 Metz Cedex 03, France;Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Received date: 2017-01-25

  Revised date: 2018-11-08

  Online published: 2019-05-06

Supported by

This work has been partially funded by KFUPM under Project # IN161006.

Abstract

We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.

Cite this article

Abderrahmane YOUKANA , Salim A. MESSAOUDI , Aissa GUESMIA . A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM[J]. Acta mathematica scientia, Series B, 2019 , 39(2) : 618 -626 . DOI: 10.1007/s10473-019-0223-5

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