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<p>This paper is concerned with a class of periodic problems for the fractional impulsive evolution equation with piecewise Caputo derivative and delay. With the aid of the expression of the solution operator for the linear periodic problem, the existence of periodic mild solutions is established by using the fixed point theorems. Finally, the derived theory is illustrated by one example.</p>

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Existence of periodic mild solutions for fractional impulsive evolution equation with piecewise Caputo derivative and delay

  • 期刊论文

  • 发表日期：

    2026年2月12日

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  • Qiang Li,
  • Weili Zhou,
  • Mei Wei

摘要

This paper is concerned with a class of periodic problems for the fractional impulsive evolution equation with piecewise Caputo derivative and delay. With the aid of the expression of the solution operator for the linear periodic problem, the existence of periodic mild solutions is established by using the fixed point theorems. Finally, the derived theory is illustrated by one example.