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

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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 fixed point theorem, the existence of this problem is proved. Examples are given to illustrate the effectiveness of our results.

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Acknowledgements

The authors sincerely thank the reviewers for their valuable suggestions and useful comments that have led to the present improved version of the original manuscript.

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Correspondence to Shurong Sun.

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The authors have no any conflict of interest.

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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).

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You, J., Xu, M. & Sun, S. Existence of Boundary Value Problems for Impulsive Fractional Differential Equations with a Parameter. Commun. Appl. Math. Comput. 3, 585–604 (2021). https://doi.org/10.1007/s42967-021-00145-2

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  • DOI: https://doi.org/10.1007/s42967-021-00145-2

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