ABSTRACT
In this paper, we consider a viscoelastic plate equation with a velocity-dependent material density and a logarithmic nonlinearity. Using the Faedo-Galaerkin approximations and the multiplier method, we establish the existence of the solutions of the problem and we prove an explicit and general decay rate result. These results extend and improve many results in the literature.
Acknowledgements
The authors thank KFUPM for its continuous support.
Disclosure statement
No potential conflict of interest was reported by the authors.