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Table 1 Numerical results of \(\Gamma _{q}(m)\) and Λ of \(\mathbb{F}\mathrm{D}q-\mathbb{DP}\) (21) with \(q\in \{ \frac{3}{10}, \frac{1}{2}, \frac{9}{10} \}\) in Example 5.1

From: Existence and stability analysis for a class of fractional pantograph q-difference equations with nonlocal boundary conditions

n

\({q = \frac{3}{10}}\)

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

\({q = \frac{9}{10}}\)

\(\Gamma _{q}(m)\)

Λ

\(\Gamma _{q}(m)\)

Λ

\(\Gamma _{q}(m)\)

Λ

1

1.9243

0.9728

3.6571

0.9749

203.8694

0.9836

2

1.8769

0.9728

3.3032

0.9748

134.9140

0.9828

3

1.8630

0.9728

3.1459

0.9747

99.0204

0.9821

4

1.8589

0.9728

3.0716

0.9746

77.7259

0.9816

5

1.8577

0.9728

3.0355

0.9746

63.9457

0.9811

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26

1.8571

0.9728

3.0000

0.9746

21.0403

0.9779

27

1.8571

0.9728

3.0000

0.9746

20.8218

0.9779

28

1.8571

0.9728

3.0000

0.9746

20.6281

0.9778

29

1.8571

0.9728

3.0000

0.9746

20.4560

0.9778

30

1.8571

0.9728

3.0000

0.9746

20.3030

0.9778

31

1.8571

0.9728

3.0000

0.9746

20.1668

0.9778

32

1.8571

0.9728

3.0000

0.9746

20.0453

0.9778

33

1.8571

0.9728

3.0000

0.9746

19.9370

0.9777

34

1.8571

0.9728

3.0000

0.9746

19.8402

0.9777