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Title: Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stability
Author: Agarwal, Ravi
Almeida, Ricardo
Hristova, Snezhana
O’Regan, Donal
Keywords: Non-instantaneous impulses
Caputo fractional differential equations
Practical stability
Issue Date: 2021
Publisher: Springer
Abstract: Nonlinear delay Caputo fractional differential equations with non-instantaneous impulses are studied and we consider the general case of delay, depending on both the time and the state variable. The case when the lower limit of the Caputo fractional derivative is fixed at the initial time, and the case when the lower limit of the fractional derivative is changed at the end of each interval of action of the impulse are studied. Practical stability properties, based on the modified Razumikhin method are investigated. Several examples are given in this paper to illustrate the results.
Peer review: yes
DOI: 10.1007/s10473-021-0518-1
ISSN: 1572-9087
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