Communications on Applied Mathematics and Computation ›› 2021, Vol. 3 ›› Issue (4): 585-604.doi: 10.1007/s42967-021-00145-2

• ORIGINAL PAPER • Previous Articles     Next Articles

Existence of Boundary Value Problems for Impulsive Fractional Diferential Equations with a Parameter

Jin You, Mengrui Xu, Shurong Sun   

  1. School of Mathematical Sciences, University of Jinan, Jinan 250022, Shandong, China
  • Received:2020-08-13 Revised:2021-04-19 Online:2021-11-20 Published:2021-11-25
  • Contact: Shurong Sun, Jin You, Mengrui Xu E-mail:sshrong@163.com;youjin6666@163.com;xumengrui01@163.com
  • Supported by:
    This research is supported by Shandong Provincial Natural Science Foundation of China (ZR2020MA016) and also supported by the National Natural Science Foundation of China (62073153).

Abstract: We investigate a class of boundary value problems for nonlinear impulsive fractional differential equations with a parameter. By the deduction of Altman’s theorem and Krasnoselskii’s fxed point theorem, the existence of this problem is proved. Examples are given to illustrate the efectiveness of our results.

Key words: Fractional diferential equations, Boundary value problems, Impulsive, Existence

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