Variational Approach to Homoclinic Solutions for Fractional Hamiltonian Systems

Nemat Nyamoradi (), Yong Zhou (), Bashir Ahmad () and Ahmed Alsaedi ()
Additional contact information
Nemat Nyamoradi: Razi University
Yong Zhou: Xiangtan University
Bashir Ahmad: King Abdulaziz University
Ahmed Alsaedi: King Abdulaziz University

Journal of Optimization Theory and Applications, 2017, vol. 174, issue 1, No 15, 223-237

Abstract: Abstract 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.

Keywords: Fractional Hamiltonian systems; Homoclinic solutions; Variational methods; Critical point theory; 34C37; 35A15; 35B38; 37J45 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-017-1086-3

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