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Nehari type solutions for fractional Hamiltonian systems

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  • Khaled, Khachnaoui

Abstract

In this paper, we are interested in the existence and multiplicity of solutions for a class of fractional Hamiltonian systems. Our approach is based on the direct method of minimization and with the help of Nehari manifold.

Suggested Citation

  • Khaled, Khachnaoui, 2021. "Nehari type solutions for fractional Hamiltonian systems," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921002976
    DOI: 10.1016/j.chaos.2021.110943
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    References listed on IDEAS

    as
    1. Iyiola, O.S. & Tasbozan, O. & Kurt, A. & Çenesiz, Y., 2017. "On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 1-7.
    2. 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.
    3. Nyamoradi, Nemat & Rodríguez-López, Rosana, 2017. "Multiplicity of solutions to fractional Hamiltonian systems with impulsive effects," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 254-263.
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