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 language | English |
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Article number | 6 |
Journal | Journal of Nonlinear Functional Analysis |
Volume | 2021 |
Issue number | 1 |
DOIs | |
State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021 Journal of Nonlinear Functional Analysis
Keywords
- Fractional Laplacian
- Galerkin method
- Kirchhoff type problem
- Logarithmic nonlinearity