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Theory and Modern Applications

Table 3 The max error for Example 8.2 for \(\alpha =0.9\)

From: A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel

N

\(E_{1}(N)\)

\(E_{2}(N)\)

\(E_{3}(N)\)

\(E_{4}(N)\)

1

0.000000000000000

0.061074192439252

0.146845089928912

0.326263268166152

2

0.000000000000000

0.039112041827281

0.010173021708001

0.034865625110056

3

0.000000000000000

0.021387954293600

0.004169262482318

0.001531241742255

4

0.000000000000000

0.006784494793070

0.001123394201916

0.000331566801008

5

0.000000000000000

0.002404030712710

0.000345827725081

0.000088706432762

6

0.000000000000001

0.000841965585382

0.000109703039800

0.000025481270240

7

0.000000000000000

0.000326295043297

0.000036252408984

0.000007436800593

8

0.000000000000000

0.000133661138147

0.000012266138988

0.000002207934952