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On the fractional differential equations with not instantaneous impulses

Authors: Zhang, Xianmin; Agarwal, Praveen; Liu, Zuohua; Zhang, Xianzhen; Ding, Wenbin; Ciancio, Armando;

On the fractional differential equations with not instantaneous impulses

Abstract

AbstractBased on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems. Next, an example is used to illustrate the conclusion.

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Keywords

impulses, fractional differential equations; general solution; impulses; non-instantaneous impulses; Physics and Astronomy (all), 02.30.hq, general solution, 02.30.ik, Physics, QC1-999, fractional differential equations, non-instantaneous impulses

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Average
Average
gold