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New results for impulsive fractional differential equations through variational methods

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  • Dongdong Gao
  • Jianli Li

Abstract

In this paper, we mainly discuss the existence of solutions for impulsive fractional differential equations. By applying variational methods and critical point theory, some new criteria to guarantee that the impulsive fractional differential equation has infinitely many solutions are established. Moreover, we improve and extend some previous results.

Suggested Citation

  • 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.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:10:p:1866-1878
    DOI: 10.1002/mana.201800383
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    References listed on IDEAS

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    1. Zhao, Yulin & Chen, Haibo & Qin, Bin, 2015. "Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 417-427.
    2. 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.
    3. Jing Chen & X. H. Tang, 2012. "Existence and Multiplicity of Solutions for Some Fractional Boundary Value Problem via Critical Point Theory," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-21, January.
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