Fractional viscoelastic equation of kirchhoff type with logarithmic nonlinearity

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Abstract

In this paper, we study a fractional viscoelastic equation of Kirchhoff type with logarithmic nonlinearity. Under suitable conditions, we prove the existence of global solutions and the exponential decay of the energy.

Original languageEnglish
Article number6
JournalJournal of Nonlinear Functional Analysis
Volume2021
Issue number1
DOIs
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© 2021 Journal of Nonlinear Functional Analysis

Keywords

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

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