Nonexistence of global solution to system of semi-linear wave models with fractional damping

Medjahed Djilali; Ali Hakem

doi:10.26637/MJM0704/0004

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.

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Medjahed Djilali Laboratory ACEDP, Djillali Liabes University, Sidi-Bel-Abbes-22000, ALGERIA. https://orcid.org/0000-0002-4390-9404
Ali Hakem Laboratory ACEDP, Djillali Liabes University, Sidi-Bel-Abbes-22000, ALGERIA. https://orcid.org/0000-0001-6145-4514

Pages: 625-631
Date Published: 01-10-2019
Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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