Sufficient conditions of non global solution for fractional damped wave equations with non-linear memory

Year 2018, Volume: 2 Issue: 4, 224 - 237, 24.12.2018

Tayep Hadj Kaddour Ali Hakem

https://doi.org/10.31197/atnaa.481339

Cited By: 3

Abstract

The focus of the current paper is to prove nonexistence results for the Cauchy

problem of a wave equation with fractional damping and non linear memory.

  Our method of proof is based on suitable choices of the test

functions in the weak formulation of the sought solutions.

Keywords

Damped wave equation, Fujita’s exponent, fractional derivative

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