Stability Analysis of Distributed Order Fractional Differential Equations

Table 1

Stability analysis of distributed order fractional WINDMI system.

Parameters	𝑏(𝛼)=𝛿(𝛼−𝛽)			𝑏(𝛼)=𝛿(𝛼−𝛽1)+𝛿(𝛼−𝛽2)		𝑏(𝛼)=2𝛼
	𝛽=1	𝛽=.95	𝛽=.65	𝛽1=.5,𝛽2=.85	𝛽1=.1,𝛽2=.9
𝑎=0,𝑏=0	(0,0,3)	(0,2,1)	(0,2,1)	(0,2,1)	(0,2,1)	(2,0,0)
𝑎=0,𝑏=1	(2,1,0)	(1,0,0)	(0,1,0)	(0,1,0)	(0,1,0)	(1,0,0)
𝑎=1,𝑏=1	(0,1,2)	(0,2,0)	(0,2,0)	(0,2,0)	(0,2,0)	(3,0,0)
𝑎=1,𝑏=0	(0,2,1)	(0,2,1)	(0,0,1)	(0,0,1)	(0,2,1)	(2,0,0)
𝑎=1,𝑏=0.001	(0,3,0)	(0,1,0)	(0,0,0)	(0,0,0)	(0,1,0)	(1,0,0)