Nonexistence of global solution to system of semi-linear wave models with fractional damping
Authors :
Medjahed Djilali 1 * and Ali Hakem 2
Author Address :
1,2 Laboratory ACEDP, Djillali Liabes University, Sidi-Bel-Abbes-22000, ALGERIA.
*Corresponding author.
Abstract :
In this article we are interested to Cauchy problem for system of semi-linear fractional evolution equations. Some authors were concerned with studying of global existence of solutions for the hyperbolic nonlinear equations with a damping term. Our goal is to extend some results obtained by the authors, by studying the system of semi-linear wave models with fractional damping term and fractional Laplacian.\\ We use the test functions method to prove the nonexistence of the sought solutions in the weak formulation.
Keywords :
Derivatives in the sense of Caputo, fractional Laplacian, test function, weak solution.
DOI :
Article Info :
Received : April 18, 2019; Accepted : August 16, 2019.
