Mittag-Leffler stability of impulsive differential equations of fractional order

2015 ◽  
Vol 73 (3) ◽  
pp. 525-535 ◽  
Author(s):  
Ivanka M. Stamova
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Impulsive Differential Equations

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).

scholarly journals The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)

2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Xianmin Zhang ◽  
Praveen Agarwal ◽  
Zuohua Liu ◽  
Hui Peng
Keyword(s):  
Approximate Solution ◽  
General Solution ◽  
Differential Equations ◽  
Fractional Order ◽  
Impulsive Differential Equations ◽  
Impulsive System ◽  
Limit Case ◽  
Approach Zero

AbstractIn this paper we consider the generalized impulsive system with Riemann-Liouville fractional-order q ∈ (1,2) and obtained the error of the approximate solution for this impulsive system by analyzing of the limit case (as impulses approach zero), as well as find the formula for a general solution. Furthermore, an example is given to illustrate the importance of our results.

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