scholarly journals THE BOUNDEDNESS FOR SOLUTIONS OF A CERTAIN TWO-DIMENSIONAL FRACTIONAL DIFFERENTIAL SYSTEM WITH DELAY

2020 ◽  
Vol 10 (5) ◽  
pp. 2068-2084
Author(s):  
Yue Yang ◽  
◽  
Fanwei Meng
Keyword(s):  
Differential System ◽  
Two Dimensional ◽  
System With Delay ◽  
Fractional Differential System ◽  
Fractional Differential

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.

scholarly journals Stability results for the linear degenerate fractional differential system

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Zhixin Zhang ◽  
Jia-Bao Liu ◽  
Jinde Cao ◽  
Wei Jiang ◽  
Ahmed Alsaedi ◽  
...  
Keyword(s):  
Differential System ◽  
Fractional Differential System ◽  
Fractional Differential ◽  
Stability Results ◽  
Linear Degenerate
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