Stability Analysis of Distributed Order Fractional Chen System

Table 1

Stability analysis of system (22) for various density functions.

𝑏𝑖(𝛼)=𝛿(𝛼−𝑞𝑖)𝑖=1,2,3			𝑏𝑖(𝛼)=𝛿(𝛼−𝑞1𝑖)+𝛿(𝛼−𝑞2𝑖)𝑖=1,2,3
(𝑎,𝑏,𝑐)	𝑞=(𝑞1,𝑞2,𝑞3)	𝐼𝑛𝐵(𝑠) (J)	(𝑎,𝑏,𝑐)	(𝑞11,𝑞12)(𝑞21,𝑞22)(𝑞31,𝑞32)	𝐼𝑛𝐵(𝑠) (J)
(35,6,11)	(0.95,0.9,0.9)	𝑥1𝑥⟶(0,2,0)2=𝑥3⟶(1,2,0)	(35,3,29)	(0.85,0.3)(0.65,0.3)(0.95,0.3)	𝑥1𝑥⟶(1,0,0)2=𝑥3⟶(2,0,0)
(30,3,28)	(0.7,0.8,0.9)	𝑥1𝑥⟶(1,0,0)2⟶(0,2,0)	(35,3,28)	(0.95,0.1)(0.95,0.1)(0.95,0.1)	𝑥1𝑥⟶(1,0,0)2=𝑥3⟶(20,18,0)
(35,3,28)	(0.85,0.9,0.95)	𝑥1𝑥⟶(1,0,0)2=𝑥3⟶(2,0,0)	(50,3,20)	(0.25,0.85)(0.25,0.95)(0.25,0.75)	𝑥1𝑥⟶(0,4,0)2𝑥3⟶(1,0,0)