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Distributional solution for semilinear system involving fractional gradient and a numerical example | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 90، دوره 14، شماره 1، فروردین 2023، صفحه 1175-1185 اصل مقاله (475.38 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27420.3595 | ||
| نویسندگان | ||
| Chaima Saadi* ؛ Hakim Lakhal؛ Kamel Slimani؛ Sara Dob | ||
| Laboratory of Applied Mathematics and History and Didactics of mathematics (LAMAHIS), University 20 August 1955 Skikda, Algeria | ||
| تاریخ دریافت: 17 خرداد 1401، تاریخ بازنگری: 18 شهریور 1401، تاریخ پذیرش: 29 مهر 1401 | ||
| چکیده | ||
| In this research, a semilinear fractional system involving a new operator is tackled. The existence of a distributional solution is demonstrated and the Leray-Schauder degree method is used to deal with the existence of this system. For the uniqueness of the solution, we use the contraction principle with some assumptions made on the semilinear term $\Phi_{1}$ and $\Phi_{2}$. Then, using an example and the finite difference method a numerical investigation of this system is conducted. | ||
| کلیدواژهها | ||
| Distributional solution؛ semilinear elliptic system؛ Leray-Schauder degree؛ Riesz fractional gradient؛ homotopy invariance؛ partial differential equations | ||
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