Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 125, pp. 1-15.

Title: Global solutions for fractional viscoelastic equations with logarithmic nonlinearities
       
Author: Eugenio Cabanillas Lapa (UNMSM, Lima-Peru)

Abstract:
 In this article we study a fractional viscoelastic equation of Kirchhoff type with
 logarithmic nonlinearities. Under suitable conditions we prove the existence
 of global solutions and the exponential decay of the energy.

Submitted January 19, 2020. Published December 20, 2020.
Math Subject Classifications: 35J30, 35J92,47H05, 47H30.
Key Words: Kirchhoff type problem; fractional Laplacian; Galerkin method;
           logarithmic nonlinearity.