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Theory and Modern Applications

Table 2 Some numerical results of \(\varLambda _{i}\) in Example 1 for \(q= \frac{1}{2}\)

From: An increasing variables singular system of fractional q-differential equations via numerical calculations

n

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

\(\varLambda _{1}\)

\(\varLambda _{2}\)

\(\varLambda _{3}\)

\(\varLambda _{4}\)

\(\varLambda _{5}\)

1

1.6027

7.8053

1.7179

1.589

1.5801

2

1.7551

8.689

1.9738

1.8957

1.9947

3

1.8300

9.1239

2.1076

2.0611

2.225

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10

1.9035

9.5516

2.2445

2.2336

2.4696

11

1.9038

9.5533

2.245

2.2343

2.4706

12

1.9039

9.5541

2.2453

2.2346

2.4711

13

1.9040

9.5545

2.2454

2.2348

2.4713

14

1.9040

9.5547

2.2455

2.2349

2.4714

15

1.9041

9.5548

2.2455

2.2349

2.4715

16

1.9041

9.5549

2.2455

2.2349

2.4715

17

1.9041

9.5549

2.2455

2.2349

2.4715

18

1.9041

9.5549

2.2455

2.2349

2.4715

19

1.9041

9.5549

2.2455

2.235

2.4716

20

1.9041

9.5549

2.2455

2.235

2.4716

21

1.9041

9.5549

2.2455

2.235

2.4716