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

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 exist...

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Published inAdvances in the theory of nonlinear analysis and its applications Vol. 7; no. 1; pp. 121 - 132
Main Authors HAMZA, Boutebba, LAKHAL, Hakim, KAMEL, Slimani, TAHAR, Belhadi
Format Journal Article
LanguageEnglish
Published 31.03.2023
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ISSN2587-2648
2587-2648
DOI10.31197/atnaa.1141136

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Summary: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.
ISSN:2587-2648
2587-2648
DOI:10.31197/atnaa.1141136