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.
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Acknowledgements
Yong Zhou acknowledges the support by National Natural Science Foundation of China (11671339). The authors thank the editor for his useful comments that led to the improvement of the original manuscript.
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Nyamoradi, N., Zhou, Y., Ahmad, B. et al. Variational Approach to Homoclinic Solutions for Fractional Hamiltonian Systems. J Optim Theory Appl 174, 223–237 (2017). https://doi.org/10.1007/s10957-017-1086-3
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DOI: https://doi.org/10.1007/s10957-017-1086-3