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Table 3 Some numerical results of \(\varLambda _{1i}\), \(\varLambda _{2i}\), and \(\varGamma _{q}(\zeta _{i}+1)\) in Example 1 for \(q=\frac{1}{2}\)

From: On a system of fractional q-differential inclusions via sum of two multi-term functions on a time scale

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

\(\varLambda _{11}\)

\(\varLambda _{21}\)

\(\varGamma _{q}(\zeta _{1}+1)\)

\(\varLambda _{12}\)

\(\varLambda _{22}\)

\(\varGamma _{q}(\zeta _{2}+1)\)

\(\varLambda _{13}\)

\(\varLambda _{23}\)

\(\varGamma _{q}(\zeta _{3} + 1)\)

1

2.082

3.0643

0.9743

1.8502

2.8525

0.9965

1.8071

2.8154

1.0157

2

2.1927

3.3761

0.9526

1.9826

3.183

0.9565

1.9472

3.1499

0.9686

3

2.2492

3.5371

0.9426

2.0498

3.354

0.9382

2.0183

3.3229

0.9472

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13

2.3064

3.7014

0.9331

2.1177

3.5286

0.9209

2.0901

3.4995

0.9269

14

2.3064

3.7015

0.9331

2.1178

3.5287

0.9209

2.0901

3.4996

0.9269

15

2.3064

3.7015

0.9331

2.1178

3.5287

0.9209

2.0901

3.4996

0.9269

16

2.3064

3.7015

0.9331

2.1178

3.5287

0.9209

2.0901

3.4997

0.9269

17

2.3064

3.7015

0.9331

2.1178

3.5288

0.9209

2.0901

3.4997

0.9269

18

2.3064

3.7015

0.9331

2.1178

3.5288

0.9209

2.0901

3.4997

0.9269

19

2.3064

3.7015

0.9331

2.1178

3.5288

0.9209

2.0901

3.4997

0.9269

20

2.3064

3.7015

0.9331

2.1178

3.5288

0.9209

2.0901

3.4997

0.9269