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Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential
Journal article   Open access  Peer reviewed

Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential

Neamat Nyamoradi, Ahmed Alsaedi, Bashir Ahmad and Yong Zhou
Entropy (Basel, Switzerland), Vol.19(2), pp.50-50
2017
DOI: https://doi.org/10.3390/e19020050

Abstract

Physical Sciences Physics Physics, Multidisciplinary Science & Technology
In this paper, we study the existence of homoclinic solutions for the fractional Hamiltonian systems with left and right Liouville-Weyl derivatives. We establish some new results concerning the existence and multiplicity of homoclinic solutions for the given system by using Clark's theorem from critical point theory and fountain theorem.
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https://doi.org/10.3390/e19020050View
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