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Stability results for fractional differential equations with state-dependent delay and not instantaneous impulses

  • Saïd Abbas EMAIL logo and Mouffak Benchohra
Published/Copyright: July 14, 2017
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Abstract

In this paper, we shall present some uniqueness and Ulam’s type stability concepts for the Darboux problem of partial functional differential equations with not instantaneous impulses and state-dependent delay in Banach spaces. Some examples are also provided to illustrate our results.


(Communicated by Michal Fečkan)


Acknowledgement

The authors are grateful of the referee for the helpful remarks.

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Received: 2015-3-4
Accepted: 2016-1-20
Published Online: 2017-7-14
Published in Print: 2017-8-28

© 2017 Mathematical Institute Slovak Academy of Sciences

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