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Mathematical Biosciences and Engineering

2023, Volume 20, Issue 4: 7020-7041. doi: 10.3934/mbe.2023303
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Stability analysis of multi-point boundary conditions for fractional differential equation with non-instantaneous integral impulse

  • 1.
    Department of System Science and Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, China
  • 2.
    Key Laboratory of Applied Statistics and Data Analysis of Department of Education of Yunnan Province, Kunming, Yunnan 650500, China
  • 3.
    School of Mathematical and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China

  • Academic Editor: Feliz Minhós
  • Received: 27 November 2022 Revised: 15 January 2023 Accepted: 20 January 2023 Published: 09 February 2023

  • This paper considers the stability of a fractional differential equation with multi-point boundary conditions and non-instantaneous integral impulse. Some sufficient conditions for the existence, uniqueness and at least one solution of the aforementioned equation are studied by using the Diaz-Margolis fixed point theorem. Secondly, the Ulam stability of the equation is also discussed. Lastly, we give one example to support our main results. It is worth pointing out that these two non-instantaneous integral impulse and multi-point boundary conditions factors are simultaneously considered in the fractional differential equations studied for the first time.

    Citation: Guodong Li, Ying Zhang, Yajuan Guan, Wenjie Li. Stability analysis of multi-point boundary conditions for fractional differential equation with non-instantaneous integral impulse[J]. Mathematical Biosciences and Engineering, 2023, 20(4): 7020-7041. doi: 10.3934/mbe.2023303

    Related Papers:

  • This paper considers the stability of a fractional differential equation with multi-point boundary conditions and non-instantaneous integral impulse. Some sufficient conditions for the existence, uniqueness and at least one solution of the aforementioned equation are studied by using the Diaz-Margolis fixed point theorem. Secondly, the Ulam stability of the equation is also discussed. Lastly, we give one example to support our main results. It is worth pointing out that these two non-instantaneous integral impulse and multi-point boundary conditions factors are simultaneously considered in the fractional differential equations studied for the first time.


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