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Abstract and Applied Analysis
/
2011
/
Article
/
Tab 1
/
Research Article
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
−
𝛽
1
)
+
𝛿
(
𝛼
−
𝛽
2
)
𝑏
(
𝛼
)
=
2
𝛼
𝛽
=
1
𝛽
=
.
9
5
𝛽
=
.
6
5
𝛽
1
=
.
5
,
𝛽
2
=
.
8
5
𝛽
1
=
.
1
,
𝛽
2
=
.
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
.
0
0
1
(
0
,
3
,
0
)
(
0
,
1
,
0
)
(
0
,
0
,
0
)
(
0
,
0
,
0
)
(
0
,
1
,
0
)
(
1
,
0
,
0
)