- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 2 Issue: 4
- Sufficient conditions of non global solution for fractional damped wave equations with non-linear me...
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 : 4 | Download : 1
Publication Date : 2018-12-24
Article Type : Research
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