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Existence of multiple solutions for nonlinear fractional Schrödinger-Poisson system involving new fractional operator | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 15، شماره 11، بهمن 2024، صفحه 83-92 اصل مقاله (418.63 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28823.3999 | ||
| نویسندگان | ||
| Hamza Boutebba* ؛ Hakim Lakhal؛ Kamel Slimani | ||
| Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), Department of Mathematics, University of 20 August 1955, P.O. Box 26-21000, Skikda, Algeria | ||
| تاریخ دریافت: 04 آبان 1401، تاریخ بازنگری: 06 آبان 1402، تاریخ پذیرش: 09 آبان 1402 | ||
| چکیده | ||
| In this paper, we prove the existence of multiple solutions in the Bessel Potential space for a new class of nonlinear fractional Schrödinger-Poisson systems involving the distributional Riesz fractional derivative. To reach our goal, we use the symmetric mountain pass theorem under some suitable assumptions on nonlinearity $f(x,u)$ and potential $V(x)$. | ||
| کلیدواژه‌ها | ||
| Fractional Schrödinger-Poisson system؛ Symmetric mountain pass theorem؛ Palais-Smale condition؛ Distributional Riesz fractional derivative؛ Bessel potential space | ||
| مراجع | ||
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