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Theory and Modern Applications

Table 3 Maximum absolute error for γ=0.01 and different values of α , β and N for Example 3

From: A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line

N

α

β

Error

α

β

Error

10

0

1

3.50⋅10−3

1

2

9.88⋅10−2

20

3.67⋅10−4

5.84⋅10−2

30

0

1.46⋅10−2

40

0

1.83⋅10−3

50

0

0

10

3

2

7.95⋅10−2

4

2

4.96⋅10−2

20

9.36⋅10−3

3.27⋅10−3

30

3.17⋅10−4

1.67⋅10−9

40

1.53⋅10−14

4.13⋅10−16

50

1.54⋅10−14

6.11⋅10−16