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Existence Results of Mild Solutions for Impulsive Fractional Integrodifferential Evolution Equations With Nonlocal Conditions

  • Xuping Zhang EMAIL logo , Haide Gou and Yongxiang Li
Published/Copyright: June 8, 2018

Abstract

In this paper, we investigate the existence of mild solutions of impulsive fractional integrodifferential evolution equations with nonlocal conditions via the fixed point theorems and fractional cosine family combined with solutions operator theorems. Our results improve and generalize some classical results. Finally, an example is given to illustrate the main results.

MSC 2010: 34K30; 34K37; 34A08; 47H08

Funding statement: This work is supported by National Natural Science Foundation of China (11661071).

  1. Competing interests: The authors declare that they have no competing interests.

  2. Authors’ contributions: All authors contributed equally and significantly in writing this paper. All authors read and approved the final manuscript.

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Received: 2017-08-05
Accepted: 2018-05-20
Published Online: 2018-06-08
Published in Print: 2019-02-23

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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