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Table 3 Numerical results of Λ, and μ for \(\mathrm{q} = \frac{1}{7}\) in Example 4.2

From: Explicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite interval

n

\(\Gamma _{\mathrm{q}}(\varsigma )\)

\(\Gamma _{\mathrm{q}}(\nu )\)

\(\Gamma _{\mathrm{q}}(\varsigma -\nu )\)

Λ

\(\mu > \nabla \mathfrak{p}( \mu ) \int _{0}^{\infty } \uppsi (\xi ) \,\mathrm{d}_{\mathrm{q}} \xi \)

 

\(\mathrm{q} = \frac{1}{7}\) and calculated μ = 0.1

1

1.2287

1.1454

−1.0393

2.7995

0.3572

0.1>0.0042

2

1.2253

1.1428

−1.0823

2.6808

0.3730

0.1>0.0043

3

1.2249

1.1424

−1.0885

2.6645

0.3753

0.1>0.0044

4

1.2248

1.1423

−1.0893

2.6622

0.3756

0.1>0.0044

5

1.2248

1.1423

−1.0895

2.6619

0.3757

0.1>0.0044