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Table 3 Some numerical results for calculation of \(\varGamma _{q}(x)\) with \(q=\frac{1}{8}, \frac{1}{2}, \frac{4}{5}, \frac{8}{9}\) for \(x=110\) of Algorithm 2

From: On the existence of solutions for a multi-singular pointwise defined fractional q-integro-differential equation

n

\(q=\frac{1}{8}\)

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

\(q=\frac{4}{5}\)

\(q=\frac{8}{9}\)

1

1,804,225.634753

2.43388915243820E+32

1.10933564801075E+75

2.3996994906237E+102

2

1,800,701.756560

2.12965300838343E+32

5.41355796236824E+74

7.1431517307455E+101

3

1,800,262.132108

1.99654969535946E+32

3.19616462101800E+74

2.6837217226512E+101

4

1,800,207.192468

1.93415751737948E+32

2.14884539802207E+74

1.1944485864825E+101

5

1,800,200.325222

1.90393630617042E+32

1.58553847001434E+74

6.0526350536381E+100

6

1,800,199.466820

1.88906180377847E+32

1.25302695267477E+74

3.3987862057282E+100

7

1,800,199.359519

1.88168265610746E+32

1.04280391429109E+74

2.0741306563269E+100

8

1,800,199.346107

1.87800749466975E+32

9.02841142168746E+73

1.3555712905453E+100

9

1,800,199.344430

1.87617350297573E+32

8.05899312693661E+73

9.38129101307050E+99

10

1,800,199.344221

1.87525740263248E+32

7.36673088857628E+73

6.81335603265770E+99

11

1,800,199.344195

1.87479957611817E+32

6.86049299667128E+73

5.15556440821410E+99

12

1,800,199.344191

1.87457071874804E+32

6.48333340557523E+73

4.04051908444650E+99

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48

1,800,199.344191

1.87434189862553E+32

5.18960499065178E+73

6.66324790738213E+98

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90

1,800,199.344191

1.87434189862553E+32

5.18923469131315E+73

6.50025876524830E+98

91

1,800,199.344191

1.87434189862553E+32

5.18923468501255E+73

6.50013085733126E+98

92

1,800,199.344191

1.87434189862553E+32

5.18923467997207E+73

6.50001716364224E+98

93

1,800,199.344191

1.87434189862553E+32

5.18923467593968E+73

6.49991610435300E+98

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118

1,800,199.344191

1.87434189862553E+32

5.18923465987107E+73

6.49915022957670E+98

119

1,800,199.344191

1.87434189862553E+32

5.18923465985889E+73

6.49914550293450E+98

120

1,800,199.344191

1.87434189862553E+32

5.18923465984914E+73

6.49914130147782E+98