Global solutions for fractional viscoelastic equations with logarithmic nonlinearities

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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.

Original languageEnglish
Article number125
Pages (from-to)1-15
Number of pages15
JournalElectronic Journal of Differential Equations
Volume2020
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2020 Texas State University.

Keywords

  • Fractional Laplacian
  • Galerkin method
  • Kirchhoff type problem
  • Logarithmic nonlinearity

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