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.
Bounaama, A., Maouni, M., & Zeghbib, F. Z. (2024). On the blow up of solutions for hyperbolic equation involving the fractional Laplacian with source terms. Journal of Mathematical Modeling, 12(2), 267-276. doi: 10.22124/jmm.2023.25236.2241
MLA
Abir Bounaama; Messaoud Maouni; Fatima Zohra Zeghbib. "On the blow up of solutions for hyperbolic equation involving the fractional Laplacian with source terms". Journal of Mathematical Modeling, 12, 2, 2024, 267-276. doi: 10.22124/jmm.2023.25236.2241
HARVARD
Bounaama, A., Maouni, M., Zeghbib, F. Z. (2024). 'On the blow up of solutions for hyperbolic equation involving the fractional Laplacian with source terms', Journal of Mathematical Modeling, 12(2), pp. 267-276. doi: 10.22124/jmm.2023.25236.2241
VANCOUVER
Bounaama, A., Maouni, M., Zeghbib, F. Z. On the blow up of solutions for hyperbolic equation involving the fractional Laplacian with source terms. Journal of Mathematical Modeling, 2024; 12(2): 267-276. doi: 10.22124/jmm.2023.25236.2241
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