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Infinitely many solutions to fractional differential equations with instantaneous and non-instantaneous impulses
  • Yu Tian,
  • Yingjie Cai,
  • Yue Zhang
Yu Tian
Beijing University of Posts and Telecommunications
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Yingjie Cai
Beijing University of Posts and Telecommunications
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Yue Zhang
Beijing University of Posts and Telecommunications
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Abstract

The goal of this paper is to study fractional differential equations involving instantaneous and non-instantaneous impulses with Sturm-Liouville boundary conditions. By using critical point theory and variational approach, infinitely many solutions are obtained. The interesting point is that the potential has an oscillating asymptotic behavior. Also one example is presented to illustrate the main result.

Peer review status:UNDER REVIEW

12 Jun 2021Submitted to Mathematical Methods in the Applied Sciences
16 Jun 2021Assigned to Editor
16 Jun 2021Submission Checks Completed
18 Jun 2021Reviewer(s) Assigned