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Variational Methods for an Impulsive Fractional Differential Equations with Derivative Term

Author

Listed:
  • Yulin Zhao

    (School of Science, Hunan University of Technology, Zhuzhou 412007, China)

  • Jiafa Xu

    (School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China)

  • Haibo Chen

    (School of Mathematics and Statistics, Central South University, Changsha 410083, China)

Abstract

This paper is devoted to studying the existence of solutions to a class of impulsive fractional differential equations with derivative dependence. The used technical approach is based on variational methods and iterative methods. In addition, an example is given to demonstrate the main results.

Suggested Citation

  • Yulin Zhao & Jiafa Xu & Haibo Chen, 2019. "Variational Methods for an Impulsive Fractional Differential Equations with Derivative Term," Mathematics, MDPI, vol. 7(10), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:880-:d:269516
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    References listed on IDEAS

    as
    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. Zhao, Yulin & Chen, Haibo & Xu, Chengjie, 2017. "Nontrivial solutions for impulsive fractional differential equations via Morse theory," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 170-179.
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