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Theory and Modern Applications

Table 10 Numerical results of \((1)=L_{1} \varLambda _{1} + |{}_{1}b_{0}|\) and \((i)=L_{i}\varLambda _{i} + \sum_{j=0}^{i-2} \frac{|{}_{i}b_{j}|}{j!}\) with \(2 \leq i \leq 5\) in Example 2 for \(q=\frac{1}{10}\)

From: An increasing variables singular system of fractional q-differential equations via numerical calculations

n

\(q =\frac{1}{10}\)

r

(1)

(2)

(3)

(4)

(5)

1

0.0808

1.1365

2.6755

5.0153

2.0615

5.0153

2

0.0812

1.137

2.6815

5.0186

2.0624

5.0186

3

0.0813

1.1371

2.6821

5.0189

2.0625

5.0189

4

0.0813

1.1371

2.6822

2.0625

5.0190

5

0.0813

1.1371

2.6822

5.0190

2.0625

5.0190

6

0.0813

1.1371

2.6822

5.0190

2.0625

5.0190

7

0.0813

1.1371

2.6822

5.0190

2.0625

5.0190