The nontrivial solutions for nonlinear fractional Schrödinger-Poisson system involving new fractional operator-Reference-Cited by-同舟云学术

The nontrivial solutions for nonlinear fractional Schrödinger-Poisson system involving new fractional operator

Published:2023-03-31 Issue:1 Volume:7 Page:121-132
ISSN:2587-2648
Container-title:Advances in the Theory of Nonlinear Analysis and its Application
language:en
Short-container-title:ATNAA

Author:

HAMZA Boutebba¹,LAKHAL Hakim²,KAMEL Slimani²,TAHAR Belhadi²

Affiliation:

1. 20 August 1955

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

Abstract

In this paper, we investigate the existence of nontrivial solutions in the Bessel Potential space for nonlinearfractional Schrödinger-Poisson system involving distributional Riesz fractional derivative. By using themountain pass theorem in combination with the perturbation method, we prove the existence of solutions.

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

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