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Multiplicity of solutions to fractional Hamiltonian systems with impulsive effects

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  • Nyamoradi, Nemat
  • Rodríguez-López, Rosana

Abstract

In this paper, we study the existence of infinitely many solutions to a class of boundary value problems for impulsive fractional Hamiltonian systems. The main tool is the use of variant Fountain theorems, which allow to give some sufficient conditions to guarantee that the impulsive problems object of our study have infinitely many solutions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:102:y:2017:i:c:p:254-263
    DOI: 10.1016/j.chaos.2017.05.020
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    Cited by:

    1. Dongdong Gao & Jianli Li, 2021. "New results for impulsive fractional differential equations through variational methods," Mathematische Nachrichten, Wiley Blackwell, vol. 294(10), pages 1866-1878, October.
    2. Khaled, Khachnaoui, 2021. "Nehari type solutions for fractional Hamiltonian systems," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

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