The Stability Analysis of a Class of Numerical Schemes for Partial Differential Systems

2019 ◽  
Author(s):  
Xinrong Cong ◽  
Shuxia Zhang ◽  
Longsuo Li
Keyword(s):  
Stability Analysis ◽  
Numerical Schemes ◽  
Partial Differential ◽  
Differential Systems ◽  
The Stability

scholarly journals On the Stability Analysis of Linear Unperturbed Non-integer Differential Systems

2021 ◽  
pp. 85-89
Author(s):  
Ubong D. Akpan
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Differential System ◽  
Differential Systems ◽  
Caputo Derivatives ◽  
Fractional Differential System ◽  
Fractional Differential ◽  
The Stability

In this paper, the stability of non-integer differential system is studied using Riemann-Liouville and Caputo derivatives. The stability notion for determining the stability/asymptotic stability or otherwise fractional differential system is given. Example is provided to demonstrate the effectiveness of the result.

Attractivity and Stability Analysis of Uncertain Differential Systems

2015 ◽  
Vol 25 (02) ◽  
pp. 1550022 ◽  
Author(s):  
Nana Tao ◽  
Yuanguo Zhu
Keyword(s):  
Stability Analysis ◽  
Differential System ◽  
Necessary Conditions ◽  
Differential Systems ◽  
Sufficient And Necessary Conditions ◽  
The Stability

Uncertain differential system is a type of differential system involving uncertain processes. Stability analysis has been widely studied but no work has been dedicated to attractivity analysis of uncertain differential systems. In this paper, some concepts of attractivity for uncertain differential systems are presented. Then the corresponding sufficient and necessary conditions are given. Furthermore, the stability of the solutions and α-path of uncertain differential systems are studied.

scholarly journals Stability Analysis of Perturbed Linear Non-integer Differential Systems

2021 ◽  
pp. 24-29
Author(s):  
Ubong D. Akpan
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Differential System ◽  
Caputo Derivative ◽  
Differential Systems ◽  
Fractional Differential System ◽  
Liouville Derivative ◽  
Fractional Differential ◽  
The Stability

In this work, the effect of perturbation on linear fractional differential system is studied. The analysis is done using Riemann-Liouville derivative and the conclusion extended to using Caputo derivative since the result is similar. Conditions for determining the stability and asymptotic stability of perturbed linear fractional differential system are given.

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