Stability analysis of linear fractional differential system with distributed delays

2015 ◽  
Author(s):  
Magdalena Veselinova ◽  
Hristo Kiskinov ◽  
Andrey Zahariev
Keyword(s):  
Stability Analysis ◽  
Differential System ◽  
Distributed Delays ◽  
Fractional Differential System ◽  
Fractional Differential

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.

Global stability analysis of a fractional differential system in hepatitis B

2021 ◽  
Vol 143 ◽  
pp. 110619
Author(s):  
Lislaine Cristina Cardoso ◽  
Rubens Figueiredo Camargo ◽  
Fernando Luiz Pio dos Santos ◽  
José Paulo Carvalho Dos Santos
Keyword(s):  
Stability Analysis ◽  
Hepatitis B ◽  
Global Stability ◽  
Differential System ◽  
Global Stability Analysis ◽  
Fractional Differential System ◽  
Fractional Differential

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.

scholarly journals Stability analysis of neutral linear fractional system with distributed delays

Filomat ◽  
2016 ◽  
Vol 30 (3) ◽  
pp. 841-851 ◽  
Author(s):  
Magdalena Veselinova ◽  
Hristo Kiskinov ◽  
Andrey Zahariev
Keyword(s):  
Stability Analysis ◽  
Zero Solution ◽  
Distributed Delays ◽  
Asymptotically Stable ◽  
Initial Value ◽  
Globally Asymptotically Stable ◽  
Fractional Differential System ◽  
Autonomous Case ◽  
Fractional Differential ◽  
Fractional System

The aim of the present work is to study the initial value problem for neutral linear fractional differential system with distributed delays in incommensurate case. Furthermore, in the autonomous case with derivatives in the Riemann-Liouville or Caputo sense we establish that if all roots of the introduced characteristic equation have negative real parts, then the zero solution is globally asymptotically stable. The proposed condition coincides with the conditions which guaranty the same result in the particular case of system with constant delays.

scholarly journals Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 150
Author(s):  
Hristo Kiskinov ◽  
Ekaterina Madamlieva ◽  
Magdalena Veselinova ◽  
Andrey Zahariev
Keyword(s):  
Integral Representation ◽  
Differential System ◽  
Fundamental Matrix ◽  
Existence And Uniqueness ◽  
Sufficient Conditions ◽  
Distributed Delays ◽  
Absolutely Continuous ◽  
Fractional Differential System ◽  
Fractional Differential ◽  
Fractional System

The goal of the present paper is to obtain sufficient conditions that guaranty the existence and uniqueness of an absolutely continuous fundamental matrix for a retarded linear fractional differential system with Caputo type derivatives and distributed delays. Some applications of the obtained result concerning the integral representation of the solutions are given too.

Sign in / Sign up

Export Citation Format

Share Document