Existence of multiple solutions for nonlinear fractional Schrödinger-Poisson system involving new fractional operator

	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
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
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