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

نویسندگان
Lakhal, Hakim ID 1
Slimani, Kamel ID 2
Boutebba, Hamza ID 3

1 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

2 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

3 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

doi
10.22075/ijnaa.2023.28823.3999
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