Global existence and general decay of solutions for a wave equation with memory, fractional boundary damping terms and logarithmic non-linearity

Abstract

This study examines the general decomposition and global existence of solutions of the nonlinear wave equation, considering the incorporation of fractional derivative boundary conditions and memory components.

Keywords

• General decay
• Global existence
• Fractional boundary dissipation
• Blow up
• Fractional arithmetic
• Impulsive conditions