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

Article scientifique 2020 Anglais

Résumé

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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Boulaaras, S., Kamache, F., Bouizem, Y., Guefaifia, R. (2020). General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms. https://doi.org/10.1186/s13661-020-01470-w

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Auteur(s)

Salah Boulaaras Fares Kamache Youcef Bouizem Rafik Guefaifia

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