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Periodic mild solutions of impulsive fractional evolution equations

  • Received: 30 September 2019 Accepted: 19 November 2019 Published: 06 December 2019
  • MSC : 34A08, 34A37, 34C25

  • This paper studies the periodic mild solutions of impulsive fractional evolution equations. Firstly, the existence and stability of periodic solutions of impulsive fractional differential equations with varying lower limits for general impulses and small shifted impulses are considered. Secondly, the existence of periodic solutions of impulsive fractional differential equations with fixed lower limits is proved. Lastly, an example is given to demonstrate the result.

    Citation: Lulu Ren, JinRong Wang, Michal Fečkan. Periodic mild solutions of impulsive fractional evolution equations[J]. AIMS Mathematics, 2020, 5(1): 497-506. doi: 10.3934/math.2020033

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  • This paper studies the periodic mild solutions of impulsive fractional evolution equations. Firstly, the existence and stability of periodic solutions of impulsive fractional differential equations with varying lower limits for general impulses and small shifted impulses are considered. Secondly, the existence of periodic solutions of impulsive fractional differential equations with fixed lower limits is proved. Lastly, an example is given to demonstrate the result.


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