"Fractional Hamiltonian Systems with Vanishing Potentials" by Ce ́sar Enrique Torres Ledesma

Progress in Fractional Differentiation & Applications

Article Title

Fractional Hamiltonian Systems with Vanishing Potentials

Authors

Ce ́sar Enrique Torres Ledesma, Departamento de Matema ́ticas, Universidad Nacional de Trujillo, Av. Juan Pablo II s/n, Trujillo, PeruFollow

Author Country (or Countries)

Peru

Abstract

In this paper we deal with an existence result for a class of fractional Hamiltonian system in R with potentials vanishing at infinity and suitable nonlinearities which are super-linear at the origin and at infinity. We establish new compact embedding theorem in order to show the boundedness of a Cerami sequence.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080307

Recommended Citation

́sar Enrique Torres Ledesma, Ce (2022) "Fractional Hamiltonian Systems with Vanishing Potentials," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 3, Article 7.
DOI: http://dx.doi.org/10.18576/pfda/080307
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss3/7

Download

COinS