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Ulam type stability for non-instantaneous impulsive Caputo fractional differential equations with finite state dependent delay

  • Ravi Agarwal EMAIL logo , Snezhana Hristova and Donal O’Regan

Abstract

Four Ulam type stability concepts for non-instantaneous impulsive fractional differential equations with state dependent delay are introduced. Two different approaches to the interpretation of solutions are investigated. We study the case of an unchangeable lower bound of the Caputo fractional derivative and the case of a lower bound coinciding with the point of jump for the solution. In both cases we obtain sufficient conditions for Ulam type stability. An example is also provided to illustrate both approaches.

MSC 2010: 34K20; 34K37; 34K45

References

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Received: 2019-07-02
Accepted: 2019-09-19
Published Online: 2020-04-21
Published in Print: 2021-08-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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