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On the blow up of solutions for hyperbolic equation involving the fractional Laplacian with source terms | ||
Journal of Mathematical Modeling | ||
مقاله 6، دوره 12، شماره 2، مهر 2024، صفحه 267-276 اصل مقاله (336.51 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2023.25236.2241 | ||
نویسندگان | ||
Abir Bounaama* ؛ Messaoud Maouni؛ Fatima Zohra Zeghbib | ||
Laboratory of Applied Mathematics and History and Didactics of Mathematics LAMAHIS, Faculty of Science, University of 20 August 1955 Skikda, Algeria | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Blow up؛ energy function؛ hyperbolic equation؛ fractional Laplacian؛ source terms؛ fractional Sobolev spaces | ||
آمار تعداد مشاهده مقاله: 140 تعداد دریافت فایل اصل مقاله: 187 |