Stability analysis, dynamical behavior and analytical solutions of nonlinear fractional differential system arising in chemical reaction

2018 ◽  
Vol 56 (1) ◽  
pp. 374-384 ◽  
Author(s):  
S. Sarwar ◽  
S. Iqbal
Keyword(s):  
Stability Analysis ◽  
Chemical Reaction ◽  
Differential System ◽  
Analytical Solutions ◽  
Dynamical Behavior ◽  
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.

GENERATING 3-D SCROLL GRID ATTRACTORS OF FRACTIONAL DIFFERENTIAL SYSTEMS VIA STAIR FUNCTION

2007 ◽  
Vol 17 (11) ◽  
pp. 3965-3983 ◽  
Author(s):  
WEIHUA DENG
Keyword(s):  
Differential System ◽  
Autonomous System ◽  
Function Approach ◽  
Differential Systems ◽  
Fractional Differential Systems ◽  
Fractional Differential System ◽  
Linear Autonomous System ◽  
Fractional Differential ◽  
The One ◽  
Number Of Equilibria

This paper discusses the stair function approach for the generation of scroll grid attractors of fractional differential systems. The one-directional (1-D) n-grid scroll, two-directional (2-D) (n × m)-grid scroll and three-directional (3-D) (n × m × l)-grid scroll attractors are created from a fractional linear autonomous system with a simple stair function controller. Being similar to the scroll grid attractors of classical differential systems, the scrolls of 1-D n-grid scroll, 2-D (n × m)-grid scroll and 3-D (n × m × l)-grid scroll attractors are located around the equilibria of fractional differential system on a line, on a plane or in 3D, respectively and the number of scrolls is equal to the corresponding number of equilibria.

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