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Theory and Modern Applications

Table 3 Some numerical results of \(\varLambda _{i}\) in Example 1 for \(q= \frac{6}{7}\)

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

n

\(q =\frac{6}{7}\)

\(\varLambda _{1}\)

\(\varLambda _{2}\)

\(\varLambda _{3}\)

\(\varLambda _{4}\)

\(\varLambda _{5}\)

1

0.8523

5.0338

0.5331

0.4502

0.1978

2

1.0644

6.0573

0.7033

0.5582

0.2622

3

1.2371

6.8796

0.8621

0.6681

0.3312

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57

2.1668

11.5134

2.2168

2.0031

1.4721

58

2.1668

11.5136

2.2168

2.0032

1.4722

59

2.1668

11.5137

2.2169

2.0033

1.4722

60

2.1668

11.5138

2.2169

2.0033

1.4723

61

2.1668

11.5139

2.217

2.0034

1.4723

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68

2.1668

11.5143

2.2171

2.0035

1.4725

69

2.1668

11.5144

2.2171

2.0036

1.4725

70

2.1668

11.5144

2.2172

2.0036

1.4725

71

2.1668

11.5144

2.2172

2.0036

1.4726

72

2.1668

11.5144

2.2172

2.0036

1.4726

73

2.1668

11.5144

2.2172

2.0036

1.4726