Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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THE METHOD OF LOWER AND UPPER SOLUTIONS FOR IMPULSIVE FRACTIONAL EVOLUTION EQUATIONS IN BANACH SPACES

  • Gou, Haide (Department of Mathematics Northwest Normal University) ;
  • Li, Yongxiang (Department of Mathematics Northwest Normal University)
  • Received : 2018.08.02
  • Accepted : 2019.09.11
  • Published : 2019.12.30
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Abstract

In this paper, we investigate the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition by means of the method of upper and lower solutions and monotone iterative method. Using the theory of Kuratowski measure of noncompactness, a series of results about mild solutions are obtained. Finally, two examples are given to illustrate our results.

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References

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