Distributional solution for semilinear system involving fractional gradient and a numerical example

	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
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
آمار تعداد مشاهده مقاله: 17,928 تعداد دریافت فایل اصل مقاله: 12,559

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