- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 1
- The nontrivial solutions for nonlinear fractional Schrödinger-Poisson system involving new fractiona...
The nontrivial solutions for nonlinear fractional Schrödinger-Poisson system involving new fractional operator
Authors : Boutebba HAMZA, Hakim LAKHAL, Slimani KAMEL, Belhadi TAHAR
Pages : 121-132
Doi:10.31197/atnaa.1141136
View : 742 | Download : 206
Publication Date : 2023-03-31
Article Type : Research Article
Abstract :In this paper, we investigate the existence of nontrivial solutions in the Bessel Potential space for nonlinear fractional Schrödinger-Poisson system involving distributional Riesz fractional derivative. By using the mountain pass theorem in combination with the perturbation method, we prove the existence of solutions.Keywords : Fractional Schrödinger-Poisson system, Mountain Pass Theorem, Bessel potential space, perturbation method