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Mixed monotone iterative technique for fractional evolution equations IS-asymptotically periodic problem with non-instantaneous impulses
  • Qiang Li,
  • Tianjiao Yuan,
  • Xu Wu
Qiang Li
Shanxi Normal University

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Tianjiao Yuan
Shanxi Normal University
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Xu Wu
Shanxi Normal University
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Abstract

In this paper, we discuss the existence of $IS$-asymptotically $\omega$-periodic mild L-quasi-solutions for a class of fractional evolution equations with non-instantaneous impulses. Under a new concept of upper and lower solutions, a new monotone iterative technique is constructed, and the necessary conditions for the existence of extremal coupled mild $L$-quasi-solutions are obtained. Finally, an example is given to illustrate the effectiveness of our theoretical results.