International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

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 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 $V(x)$.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 11
November 2024
Pages 83-92
  • Receive Date: 26 October 2022
  • Revise Date: 28 October 2023
  • Accept Date: 31 October 2023