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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

Corresponding Author:[email protected]

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