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Theory and Modern Applications

Table 1 The absolute error of the proposed method for Example 1 with different values of α , β and m=5

From: A Jacobi operational matrix for solving a fuzzy linear fractional differential equation

(α,β)

(0,0)

(0.5,0)

(0,0.5)

(0.5,0.5)

(0,0)

(0.5,0)

(0,0.5)

(0.5,0.5)

r

E 0.75 1

E 0.75 2

E 0.75 3

E 0.75 4

E 0.75 1

E 0.75 2

E 0.75 3

E 0.75 4

0

1.2389e−3

6.6971e−4

5.3528e−4

6.4838e−5

1.4035e−3

6.2014e−4

6.7068e−4

1.4583e−5

0.1

1.1068e−3

6.0522e−4

4.7498e−4

6.2325e−5

1.2714e−3

5.5565e−4

6.1038e−4

1.7096e−5

0.2

9.7471e−4

5.4073e−4

4.1468e−4

5.9812e−5

1.1393e−3

4.9115e−4

5.5008e−4

1.9608e−5

0.3

8.4258e−4

4.7623e−4

3.5438e−4

5.7299e−5

1.0072e−3

4.2666e−4

4.8978e−4

2.2121e−5

0.4

7.1045e−4

4.1174e−4

2.9408e−4

5.4787e−5

8.7507e−4

3.6217e−4

4.2948e−4

2.4634e−5

0.5

5.7832e−4

3.4725e−4

2.3379e−4

5.2274e−5

7.4295e−4

2.9767e−4

3.6918e−4

2.7146e−5

0.6

4.4619e−4

2.8275e−4

1.7349e−4

4.9761e−5

6.1082e−4

2.3318e−4

3.0889e−4

2.9659e−5

0.7

3.1407e−4

2.1826e−4

1.1319e−4

4.7248e−5

4.7869e−4

1.6869e−4

2.4859e−4

3.2172e−5

0.8

1.8194e−4

1.5377e−4

5.2897e−5

4.4736e−5

3.4656e−4

1.0419e−4

1.8829e−4

3.4685e−5

0.9

4.9815e−5

8.9279e−5

7.4009e−6

4.2223e−5

2.1444e−4

3.9706e−5

1.2799e−4

3.7197e−5

1

8.2312e−5

2.4786e−5

6.7699e−5

3.9710e−5

8.2312e−5

2.4786e−5

6.7699e−5

3.9710e−5