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

doi:10.1007/s42967-021-00145-2

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

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

Jin You, Mengrui Xu, Shurong Sun

School of Mathematical Sciences, University of Jinan, Jinan 250022, Shandong, China

收稿日期:2020-08-13 修回日期:2021-04-19 出版日期:2021-11-20 发布日期:2021-11-25
通讯作者: Shurong Sun, Jin You, Mengrui Xu E-mail:sshrong@163.com;youjin6666@163.com;xumengrui01@163.com
基金资助:
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).

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

Jin You, Mengrui Xu, Shurong Sun

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).

摘要/Abstract

摘要： 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.

关键词: Fractional diferential equations, Boundary value problems, Impulsive, Existence

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

中图分类号:

Jin You, Mengrui Xu, Shurong Sun. Existence of Boundary Value Problems for Impulsive Fractional Diferential Equations with a Parameter[J]. Communications on Applied Mathematics and Computation, 2021, 3(4): 585-604.

参考文献

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

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

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