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 : 752 | Download : 211

Publication Date : 2023-03-31

Article Type : Research Paper

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