Acta Mathematica Scientia

, Volume 39, Issue 2, pp 618–626 | Cite as

A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term

  • Abderrahmane Youkana
  • Salim A. Messaoudi
  • Aissa GuesmiaEmail author


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.

Key words

heat equation viscoelastic general decay optimal 

2010 MR Subject Classification



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The authors thank KFUPM and Lorraine-Metz uinversity for their continuous support. This work has been finalized during the visit of the third author to KFUPM in December 2016 and during the scholarship of the first author in Lorraine-Metz in 2016–2017.


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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  • Abderrahmane Youkana
    • 1
  • Salim A. Messaoudi
    • 2
  • Aissa Guesmia
    • 3
    • 4
    Email author
  1. 1.Department of MathematicsUniversity of Batna 2BatnaAlgeria
  2. 2.Department of Mathematics and StatisticsKFUPMDhahranSaudi Arabia
  3. 3.Elie Cartan Institute of LorraineUniversité de LorraineMetz Cedex 03France
  4. 4.Department of Mathematics and StatisticsKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia

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