On the blow up of solutions for hyperbolic equation involving the fractional Laplacian with source terms

Document Type : Research Article

Authors

Laboratory of Applied Mathematics and History and Didactics of Mathematics LAMAHIS, Faculty of Science, University of 20 August 1955 Skikda, Algeria

Abstract

In this paper, we study the blow-up of solutions for hyperbolic equations involving the fractional Laplacian operator with damping and source terms.  We obtain the global existence results. Then, we observe the blow-up of solutions using the concavity method. Finally, we present some numerical simulation results.

Keywords

Main Subjects


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