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

Document Type : Research Article


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


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.


Main Subjects