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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:UNDER REVIEW

23 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
27 Jun 2020Assigned to Editor
27 Jun 2020Submission Checks Completed
28 Jun 2020Reviewer(s) Assigned