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On study the existing result for the time fractional equation using the topological degree method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 16، شماره 1، فروردین 2025، صفحه 11-22 اصل مقاله (506.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28891.4017 | ||
| نویسندگان | ||
| Chaima Saadi* ؛ Hakim Lakhal؛ Kamel Slimani | ||
| Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), University 20 August 1955 Skikda, Algeria | ||
| تاریخ دریافت: 13 آبان 1401، تاریخ پذیرش: 25 آذر 1402 | ||
| چکیده | ||
| In this article, we suggest introducing the Riemann-Liouville time fractional derivative to a fractional equation (FPDE) involving a fractional Laplacian. Our work is divided into two parts. In the first part, the existence and uniqueness of time fractional linear equations are demonstrated, and the Galerkin approach is proposed to deal with them. In the second part, we investigate the existence results of the time fractional semilinear equation. To solve This problem, the Leray-Schauder degree method has been used with some conditions on the semilinear term. | ||
| کلیدواژهها | ||
| Time fractional derivative؛ Galerkin method؛ Leray-Schauder degree؛ Riemann-Liouville derivative؛ fractional semilinear parabolic equation | ||
| مراجع | ||
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