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

Öz

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.

Anahtar Kelimeler

• Fractional Schrödinger-Poisson system
• Mountain Pass Theorem
• Bessel potential space
• perturbation method

Kaynakça

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