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

2016 ◽  
Vol 14 (1) ◽  
pp. 1125-1137 ◽  
Author(s):  
Xianmin Zhang ◽  
Wenbin Ding ◽  
Hui Peng ◽  
Zuohua Liu ◽  
Tong Shu
Keyword(s):  
General Solution ◽  
Fractional Order ◽  
Fractional Derivatives ◽  
Fractional Order System ◽  
Order System ◽  
Impulsive Effect ◽  
Impulsive Systems ◽  
Fractional Differential System ◽  
Fractional Differential ◽  
Formula Of General Solution

AbstractIn 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.

scholarly journals On the concept of general solution for impulsive differential equations of fractional-order q ∈ (2,3)

2016 ◽  
Vol 14 (1) ◽  
pp. 452-473 ◽  
Author(s):  
Xianmin Zhang ◽  
Tong Shu ◽  
Zuohua Liu ◽  
Wenbin Ding ◽  
Hui Peng ◽  
...  
Keyword(s):  
General Solution ◽  
Differential Equations ◽  
Fractional Order ◽  
Impulsive Differential Equations ◽  
Formula Of General Solution

AbstractIn this paper, we find the formula of general solution for a generalized impulsive differential equations of fractional-order q ∈ (2, 3).

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