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Theory and Modern Applications

Table 2 The absolute error of the proposed method for Example 2 with different values of α , β and m=7

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 0.85 1

E 0.85 2

E 0.85 3

E 0.85 4

E 0.85 1

E 0.85 2

E 0.85 3

E 0.85 4

0

2.1261e−4

7.7483e−4

1.6513e−4

4.3894e−4

2.1261e−4

7.7483e−4

1.6513e−4

4.3894e−4

0.1

1.9135e−4

6.9735e−4

1.4862e−4

3.9505e−4

1.9135e−4

6.9735e−4

1.4862e−4

3.9505e−4

0.2

1.7009e−4

6.1986e−4

1.3210e−4

3.5115e−4

1.7009e−4

6.1986e−4

1.3210e−4

3.5115e−4

0.3

1.4883e−4

5.4238e−4

1.1559e−4

3.0726e−4

1.4883e−4

5.4238e−4

1.1559e−4

3.0726e−4

0.4

1.2757e−4

4.6490e−4

9.9081e−5

2.6336e−4

1.2757e−4

4.6490e−4

9.9081e−5

2.6336e−4

0.5

1.0630e−4

3.8741e−4

8.2568e−5

2.1947e−4

1.0630e−4

3.8741e−4

8.2568e−5

2.1947e−4

0.6

8.5046e−5

3.0993e−4

6.6054e−5

1.7557e−4

8.5046e−5

3.0993e−4

6.6054e−5

1.7557e−4

0.7

6.3785e−5

2.3245e−4

4.9540e−5

1.3168e−4

6.3785e−5

2.3245e−4

4.9540e−5

1.3168e−4

0.8

4.2523e−5

2.0864e−4

3.3027e−5

8.7789e−5

4.2523e−5

2.0864e−4

3.3027e−5

8.7789e−5

0.9

2.1261e−5

7.7483e−5

1.6513e−5

4.3894e−5

2.1261e−5

7.7483e−5

1.6513e−5

4.3894e−5

1

8.1051e−12

2.2339e−9

1.7246e−9

4.9312e−9

7.9941e−12

2.2338e−9

1.7245e−9

4.9312e−9