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

Authors : Tayep HADJ KADDOUR, Ali HAKEM

Pages : 224-237

Doi:10.31197/atnaa.481339

View : 19 | Download : 11

Publication Date : 2018-12-24

Article Type : Research Paper

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, Fujitas exponent, fractional derivative