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Theory and Modern Applications

Table 2 Some numerical results for \({}_{2}A_{1}\) and \({}_{2}A_{2}\) in Example 1 for \(q=\frac{1}{10}, \frac{1}{2}, \frac{6}{7}\)

From: On a fractional q-differential inclusion on a time scale via endpoints and numerical calculations

 

\(q =\frac{1}{10}\)

\(q =\frac{1}{2}\)

\(q =\frac{6}{7}\)

n

\({}_{2}A_{1}\)

\({}_{2}A_{2}\)

\({}_{2}A_{1}\)

\({}_{2}A_{2}\)

\({}_{2}A_{1}\)

\({}_{2}A_{2}\)

1

0.4111

0.4262

0.3941

0.4076

0.3713

0.3916

2

0.4109

0.426

0.397

0.4097

0.3663

0.3836

3

0.4109

0.426

0.3988

0.4112

0.3674

0.383

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â‹®

â‹®

â‹®

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8

0.4109

0.426

0.4007

0.4127

0.3827

0.3951

9

0.4109

0.426

0.426

0.4128

0.3851

0.3972

10

0.4109

0.426

0.4007

0.4128

0.3871

0.3991

11

0.4109

0.426

0.4007

0.4128

0.389

0.4008

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â‹®

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â‹®

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43

0.4109

0.426

0.4007

0.4128

0.4

0.411

44

0.4109

0.426

0.4007

0.4128

0.4001

0.411

45

0.4109

0.426

0.4007

0.4128

0.4001

0.4111

46

0.4109

0.426

0.4007

0.4128

0.4001

0.4111

47

0.4109

0.426

0.4007

0.4128

0.4001

0.4111