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Theory and Modern Applications

Table 1 Some numerical results for calculation of \(\varGamma _{q}(x)\) with \(q=\frac{1}{3}\) that is constant, \(x=4.5, 8.4, 12.7\), and \(n=1, 2, \ldots, 15\) of Algorithm 2

From: Solutions of two fractional q-integro-differential equations under sum and integral boundary value conditions on a time scale

n

x = 4.5

x = 8.4

x = 12.7

n

x = 4.5

x = 8.4

x = 12.7

1

2.472950

11.909360

68.080769

9

2.340263

11.257158

64.351366

2

2.383247

11.468397

65.559266

10

2.340250

11.257095

64.351003

3

2.354446

11.326853

64.749894

11

2.340245

11.257074

64.350881

4

2.344963

11.280255

64.483434

12

2.340244

11.257066

64.350841

5

2.341815

11.264786

64.394980

13

2.340243

11.257064

64.350828

6

2.340767

11.259636

64.365536

14

2.340243

11.257063

64.350823

7

2.340418

11.257921

64.355725

15

2.340243

11.257063

64.350822

8

2.340301

11.257349

64.352456

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