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Theory and Modern Applications

Table 4 Some numerical results of Σ in Example 1 for \(q= \frac{1}{10}\)

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

n

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

Σ

\({}_{1}\eta _{1}\varLambda _{1}\)

\(\sum_{j=1}^{2}{}_{2}\eta _{j}\varLambda _{2}\)

\(\sum_{j=1}^{3}{}_{3}\eta _{j}\varLambda _{3}\)

\(\sum_{j=1}^{4}{}_{4}\eta _{j}\varLambda _{4}\)

\(\sum_{j=1}^{5}{}_{5}\eta _{j}\varLambda _{5}\)

1

0.1358

0.3101

0.1002

0.2285

0.3021

0.3101

2

0.1362

0.312

0.1006

0.2298

0.3045

0.312

3

0.1363

0.3121

0.1006

0.2299

0.3048

0.3121

4

0.1363

0.3122

0.1006

0.2299

0.3048

0.3122

5

0.1363

0.3122

0.1006

0.2299

0.3048

0.3122

6

0.1363

0.3122

0.1006

0.2299

0.3048

0.3122

7

0.1363

0.3122

0.1006

0.2299

0.3048

0.3122

8

0.1363

0.3122

0.1006

0.2299

0.3048

0.3122