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The general solution of impulsive systems with Riemann-Liouville fractional derivatives

Xianmin ZhangWenbin DingHui PengZuohua LiuTong Shu — 2016

Open Mathematics

In this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero). The obtained result shows that the deviation caused by impulses for fractional-order system is undetermined. An example is also provided to illustrate the result.

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