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Theory and Modern Applications

Table 13 Numerical results of r in Example 2 for \(q=\frac{1}{10}, \frac{1}{2}, \frac{7}{6}\)

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

n

r

\(q =\frac{1}{10}\)

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

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

1

5.0153

4.4968

4.0638

2

5.0186

4.5846

4.0993

3

5.0189

4.6312

4.1333

4

5.019

4.6553

4.1663

5

5.019

4.6675

4.1981

6

5.019

4.6736

4.2285

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13

5.019

4.6797

4.3835

14

5.019

4.6797

4.3975

15

5.019

4.6798

4.4098

16

5.019

4.6798

4.4205

17

5.019

4.6798

4.4299

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61

5.019

4.6798

4.4897

62

5.019

4.6798

4.4897

63

5.019

4.6798

4.4897

64

5.019

4.6798

4.4898

65

5.019

4.6798

4.4898

66

5.019

4.6798

4.4898

67

5.019

4.6798

4.4898