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