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A class of piecewise fractional functional differential equations with impulsive

  • Mei Jia EMAIL logo , Tingle Li und Xiping Liu EMAIL logo
Veröffentlicht/Copyright: 1. November 2022
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Abstract

In this paper, we study a class of piecewise fractional functional differential equations with impulsive and integral boundary conditions. By using Schauder fixed point theorem and contraction mapping principle, the results for existence and uniqueness of solutions for the piecewise fractional functional differential equations are established. And by using cone stretching and cone contraction fixed point theorems in norm form, the existence of positive solutions for the equations are also obtained. Finally, an example is given to illustrate the effectiveness of the conclusion.


Corresponding authors: Mei Jia and Xiping Liu, College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China, E-mail: (M. Jia) and (X. Liu)

Award Identifier / Grant number: 11171220

Acknowledgments

The authors would like to thank the editor, advisory editor and the anonymous referees for their contributions to this article and their valuable suggestions for improving this article.

  1. Author contributions: The authors declare that the study was realized in collaboration with equal responsibility. All authors read and approved the final manuscript.

  2. Research funding: This work is supported by the National Natural Science Foundation of China (Grant No. 11171220).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2021-07-27
Accepted: 2022-09-18
Published Online: 2022-11-01

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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