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Theory and Modern Applications

Table 4 Some numerical results for \({}_{4}A_{1}\) and \({}_{4}A_{2}\) 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

\({}_{4}A_{1}\)

\({}_{4}A_{2}\)

\({}_{4}A_{1}\)

\({}_{4}A_{2}\)

\({}_{4}A_{1}\)

\({}_{4}A_{2}\)

1

0.4385

0.4571

0.4179

0.4355

0.3488

0.3713

2

0.4386

0.4572

0.4265

0.4435

0.3565

0.3771

3

0.4386

0.4572

0.4309

0.4477

0.366

0.3853

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â‹®

â‹®

â‹®

â‹®

â‹®

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7

0.4386

0.4572

0.4352

0.4517

0.3972

0.4143

8

0.4386

0.4572

0.4353

0.4518

0.4028

0.4196

9

0.4386

0.4572

0.4354

0.4519

0.4075

0.4242

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â‹®

â‹®

â‹®

â‹®

â‹®

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44

0.4386

0.4572

0.4354

0.4519

0.4364

0.452

45

0.4386

0.4572

0.4354

0.4519

0.4364

0.4521

46

0.4386

0.4572

0.4354

0.4519

0.4364

0.4521

47

0.4386

0.4572

0.4354

0.4519

0.4364

0.4521