Global solutions for fractional viscoelastic equations with logarithmic nonlinearities
Date
2020-12-20
Authors
Lapa, Eugenio Cabanillas
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Kirchhoff type problem, fractional Laplacian, Galerkin method, logarithmic nonlinearity
Citation
Lapa, E. C. (2020). Global solutions for fractional viscoelastic equations with logarithmic nonlinearities. <i>Electronic Journal of Differential Equations, 2020</i>(125), pp. 1-15.
Rights
Attribution 4.0 International