General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms

Abstract The paper studies the global existence and general decay of solutions using Lyapunov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term. In addition, we establish the blow-up of solutions with nonpositive initial energy...

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Bibliographic Details
Published in:Boundary Value Problems
Main Authors: Salah Boulaaras, Fares Kamache, Youcef Bouizem, Rafik Guefaifia
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Subjects:
Online Access:https://doi.org/10.1186/s13661-020-01470-w