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Theory and Modern Applications

Table 9 Some numerical results of \(\varLambda _{i}\) in Example 2 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

1.2003

1.2924

0.8904

0.1853

0.1871

2

1.5754

1.7291

1.2336

0.2256

0.2434

3

1.8892

2.122

1.5593

0.2641

0.3038

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62

3.6790

4.8818

4.4531

0.6682

1.2983

63

3.6791

4.8819

4.4532

0.6683

1.2983

64

3.6791

4.8819

4.4532

0.6683

1.2984

65

3.6791

4.8819

4.4533

0.6683

3.6791

66

3.6791

4.882

4.4533

0.6683

1.2984

67

3.6791

4.882

4.4533

0.6683

1.2984

68

3.6791

4.882

4.4534

0.6683

1.2984

69

3.6791

4.882

4.4534

0.6683

1.2984

70

3.6791

4.8821

4.4534

0.6683

1.2985