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Existence of Solutions for a Periodic Boundary ValueProblem with Impulse and Fractional Derivative Dependence

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  • Yaohong Li
  • Yongqing Wang
  • Donal O’Regan
  • Jiafa Xu
  • Xiaolong Qin

Abstract

In this paper, we present some theorems on impulsive periodic boundary value problems with fractional derivative dependence. In particular, we discuss the existence of solutions of a class of fractional-order impulsive periodic boundary values with nonlinear terms and impulsive terms satisfying certain growth conditions. Three examples are provided to illustrate our results.

Suggested Citation

  • Yaohong Li & Yongqing Wang & Donal O’Regan & Jiafa Xu & Xiaolong Qin, 2020. "Existence of Solutions for a Periodic Boundary ValueProblem with Impulse and Fractional Derivative Dependence," Journal of Mathematics, Hindawi, vol. 2020, pages 1-16, December.
  • Handle: RePEc:hin:jjmath:6625056
    DOI: 10.1155/2020/6625056
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