Variational Approach to Homoclinic Solutions for Fractional Hamiltonian Systems |
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| Authors: | Nemat Nyamoradi Yong Zhou Bashir Ahmad Ahmed Alsaedi |
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| Institution: | 1.Faculty of Sciences,Razi University,Kermanshah,Iran;2.Faculty of Mathematics and Computational Science,Xiangtan University,Hunan,China;3.Faculty of Science,King Abdulaziz University,Jeddah,Saudi Arabia |
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| 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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