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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 7 Some numerical results for calculation of the Ξ in Example 2 for \(q=\frac{1}{7}, \frac{1}{2}, \frac{7}{8}\)

From: α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results

 

\(q =\frac{1}{7}\)

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

\(q =\frac{7}{8}\)

n

\(\varXi _{1}\)

\(\varXi _{2}\)

\(\varXi _{3}\)

\(\varXi _{1}\)

\(\varXi _{2}\)

\(\varXi _{3}\)

\(\varXi _{1}\)

\(\varXi _{2}\)

\(\varXi _{3}\)

1

6.4372

3.9299

1.2544

6.7478

4.5268

1.5052

2.5011

1.9273

0.7942

2

6.446

4.1478

1.5216

6.757

4.7764

1.8348

2.5041

2.0191

0.9492

3

6.4473

4.257

1.7524

6.7583

4.9013

2.1214

2.5045

2.0646

1.0795

4

6.4475

4.3116

1.9534

6.7585

4.9637

2.372

2.5046

2.0872

1.1902

5

6.4475

4.339

2.1292

6.7585

4.995

2.5916

2.5046

2.0985

1.2851

6

6.4475

4.3527

2.2834

6.7585

5.0106

2.7842

2.5046

2.1041

1.3667

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⋮

⋮

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⋮

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12

6.4475

4.3661

2.8856

6.7585

5.0259

3.5351

2.5046

2.1096

1.6718

13

6.4475

4.3662

2.9479

6.7585

5.0261

3.6124

2.5046

2.1097

1.7021

14

6.4475

4.3663

3.0025

6.7585

5.0261

3.6801

2.5046

2.1097

1.7285

15

6.4475

4.3663

3.0505

6.7585

5.0262

3.7395

2.5046

2.1097

1.7515

16

6.4475

4.3663

3.0926

6.7585

5.0262

3.7916

2.5046

2.1097

1.7717

17

6.4475

4.3663

3.1295

6.7585

5.0262

3.8372

2.5046

2.1097

1.7892

18

6.4475

4.3663

3.1619

6.7585

5.0262

3.8772

2.5046

2.1097

1.8046

19

6.4475

4.3664

3.1903

6.7585

5.0262

3.9122

2.5046

2.1097

1.8179

20

6.4475

4.3664

3.2152

6.7585

5.0262

3.9428

2.5046

2.1097

1.8296

21

6.4475

4.3664

3.237

6.7585

5.0262

3.9697

2.5046

2.1097

1.8399

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⋮

⋮

⋮

⋮

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⋮

⋮

⋮

66

6.4475

4.3664

3.3901

6.7585

5.0262

4.1579

2.5046

2.1097

1.9109

67

6.4475

4.3664

3.3902

6.7585

5.0262

4.158

2.5046

2.1097

1.911

68

6.4475

4.3664

3.3902

6.7585

5.0262

4.158

2.5046

2.1097

1.911

69

6.4475

4.3664

3.3902

6.7585

5.0262

4.1581

2.5046

2.1097

1.911

70

6.4475

4.3664

3.3903

6.7585

5.0262

4.1581

2.5046

2.1097

1.911

71

6.4475

4.3664

3.3903

6.7585

5.0262

4.1582

2.5046

2.1097

1.911

72

6.4475

4.3664

3.3903

6.7585

5.0262

4.1582

2.5046

2.1097

1.911

73

6.4475

4.3664

3.3903

6.7585

5.0262

4.1582

2.5046

2.1097

1.9111

74

6.4475

4.3664

3.3904

6.7585

5.0262

4.1582

2.5046

2.1097

1.9111

75

6.4475

4.3664

3.3904

6.7585

5.0262

4.1583

2.5046

2.1097

1.9111

76

6.4475

4.3664

3.3904

6.7585

5.0262

4.1583

2.5046

2.1097

1.9111

77

6.4475

4.3664

3.3904

6.7585

5.0262

4.1583

2.5046

2.1097

1.9111

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