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Variational Approach to Homoclinic Solutions for Fractional Hamiltonian Systems

Author

Listed:
  • Nemat Nyamoradi

    (Razi University)

  • Yong Zhou

    (Xiangtan University
    King Abdulaziz University)

  • Bashir Ahmad

    (King Abdulaziz University)

  • Ahmed Alsaedi

    (King Abdulaziz University)

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.

Suggested Citation

  • Nemat Nyamoradi & Yong Zhou & Bashir Ahmad & Ahmed Alsaedi, 2017. "Variational Approach to Homoclinic Solutions for Fractional Hamiltonian Systems," Journal of Optimization Theory and Applications, Springer, vol. 174(1), pages 223-237, July.
    • Handle: RePEc:spr:joptap:v:174:y:2017:i:1:d:10.1007_s10957-017-1086-3
    DOI: 10.1007/s10957-017-1086-3
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    Cited by:

    1. Khaled, Khachnaoui, 2021. "Nehari type solutions for fractional Hamiltonian systems," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

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