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General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
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  • Salah Boulaaras,
  • Fares Kamache,
  • Youcef Bouizem,
  • Rafik Guefaifia
Salah Boulaaras
Qassim University
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Fares Kamache
University of Tebessa
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Youcef Bouizem
Universite des Sciences et de la Technologie d'Oran Mohamed Boudiaf
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Rafik Guefaifia
University of Tebessa
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Abstract

The paper studies the global existence and general decay of solutions using Lyaponov 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.

Peer review status:Published

Dec 2020Published in Boundary Value Problems volume 2020 issue 1. 10.1186/s13661-020-01470-w