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Theory and Modern Applications

Table 3 Some numerical results for \({}_{3}A_{1}\) and \({}_{3}A_{2}\) 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

\({}_{3}A_{1}\)

\({}_{3}A_{2}\)

\({}_{3}A_{1}\)

\({}_{3}A_{2}\)

\({}_{3}A_{1}\)

\({}_{3}A_{2}\)

1

0.4498

0.4702

0.4224

0.4423

0.3082

0.33

2

0.45

0.4703

0.4366

0.4562

0.3274

0.3484

3

0.45

0.4704

0.4437

0.4632

0.3447

0.3652

4

0.45

0.4704

0.4472

0.4667

0.3599

0.38

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11

0.45

0.4704

0.4508

0.4702

0.4208

0.4401

12

0.45

0.4704

0.4508

0.4703

0.4253

0.4446

13

0.45

0.4704

0.4508

0.4703

0.4291

0.4484

14

0.45

0.4704

0.4508

0.4703

0.4324

0.4517

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47

0.45

0.4704

0.4508

0.4703

0.452

0.4711

48

0.45

0.4704

0.4508

0.4703

0.4521

0.4712

49

0.45

0.4704

0.4508

0.4703

0.4521

0.4712

50

0.45

0.4704

0.4508

0.4703

0.4521

0.4712