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Variational Approach to Homoclinic Solutions for Fractional Hamiltonian Systems
Journal article   Peer reviewed

Variational Approach to Homoclinic Solutions for Fractional Hamiltonian Systems

Nemat Nyamoradi, Yong Zhou, Bashir Ahmad and Ahmed Alsaedi
Journal of optimization theory and applications, Vol.174(1), pp.223-237
01/07/2017

Abstract

Mathematics Mathematics, Applied Operations Research & Management Science Physical Sciences Science & Technology Technology
In this paper, we discuss the existence and multiplicity of homoclinic solutions for fractional Hamiltonian systems with left and right Liouville-Weyl fractional derivatives. Sufficient conditions ensuring the existence of an unbounded sequence of homoclinic solutions for the given problem are obtained via variational approach.

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