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Theory and Modern Applications

Table 8 Some numerical results of \(\varLambda _{i}\) in Example 2 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

2.4734

3.3933

3.0493

0.6763

1.3697

2

2.7790

3.8511

3.6053

0.7758

1.7202

3

2.9305

4.0847

3.8985

0.8287

1.9145

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13

3.0810

4.3213

4.202

0.8836

2.1219

14

3.0811

4.3214

4.2022

0.8837

2.122

15

3.0811

4.3215

4.2023

0.8837

2.1221

16

3.0811

4.3215

4.2023

0.8837

2.1221

17

3.0811

4.3215

4.2023

0.8837

2.1221

18

3.0812

4.3215

4.2023

0.8837

2.1221

19

3.0812

4.3215

4.2023

0.8837

2.1221

20

3.0812

4.3215

4.2023

0.8837

2.1222

21

3.0812

4.3215

4.2023

0.8837

2.1222

22

3.0812

4.3215

4.2023

0.8837

2.1222