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Open AccessArticle

Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential

by Neamat Nyamoradi 1,†, Ahmed Alsaedi 2, Bashir Ahmad 2,* and Yong Zhou 3,2,†
1
Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran
2
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
3
Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editors: António M. Lopes and J. A. Tenreiro Machado
Entropy 2017, 19(2), 50; https://doi.org/10.3390/e19020050
Received: 24 November 2016 / Revised: 11 January 2017 / Accepted: 19 January 2017 / Published: 24 January 2017
(This article belongs to the Special Issue Complex Systems and Fractional Dynamics)
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. View Full-Text
Keywords: homoclinic solutions; fractional Hamiltonian systems; critical point theory homoclinic solutions; fractional Hamiltonian systems; critical point theory
MDPI and ACS Style

Nyamoradi, N.; Alsaedi, A.; Ahmad, B.; Zhou, Y. Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential. Entropy 2017, 19, 50.

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