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Theory and Modern Applications

Table 3 Maximum absolute error for γ=0.1 and different values of α , β and N for Example 3

From: The operational matrix of Caputo fractional derivatives of modified generalized Laguerre polynomials and its applications

N

α

β

error

α

β

error

4

0

1

6.95.10−5

2

2

2.58.10−6

8

6.41.10−6

2.53.10−8

12

4.73.10−10

2.0.10−10

16

2.27.10−14

0

4

4

3

9.67.10−7

2

4

6.49.10−8

8

1.05.10−9

2.61.10−11

12

1.59.10−12

1.35.10−14

16

2.9.10−15

0