Homoclinic Orbits for a Class of Fractional Hamiltonian Systems via Variational Methods

Nemat Nyamoradi () and Yong Zhou ()
Additional contact information
Nemat Nyamoradi: Razi University
Yong Zhou: Xiangtan University

Journal of Optimization Theory and Applications, 2017, vol. 174, issue 1, No 14, 210-222

Abstract: Abstract This paper is devoted to the existence and multiplicity of homoclinic orbits for a class of fractional-order Hamiltonian systems with left and right Liouville–Weyl fractional derivatives. Here, we present a new approach via variational methods and critical point theory to obtain sufficient conditions under which the Hamiltonian system has at least one homoclinic orbit or multiple homoclinic orbits. Some results are new even for second-order Hamiltonian systems.

Keywords: Fractional Hamiltonian systems; Homoclinic orbits; Variational methods; Critical point theory; 34C37; 35A15; 35B38; 37J45 (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-016-0864-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:174:y:2017:i:1:d:10.1007_s10957-016-0864-7

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-016-0864-7

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().