Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 5 Some numerical results of Σ in Example 1 for \(q= \frac{1}{2}\)

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

n	\(q =\frac{1}{2}\)					Σ
n	\({}_{1}\eta _{1}\varLambda _{1}\)	\(\sum_{j=1}^{2}{}_{2}\eta _{j}\varLambda _{2}\)	\(\sum_{j=1}^{3}{}_{3}\eta _{j}\varLambda _{3}\)	\(\sum_{j=1}^{4}{}_{4}\eta _{j}\varLambda _{4}\)	\(\sum_{j=1}^{5}{}_{5}\eta _{j}\varLambda _{5}\)	Σ
1	0.1531	0.3975	0.082	0.1619	0.1257	0.3975
2	0.1676	0.4425	0.0942	0.1931	0.1587	0.4425
3	0.1748	0.4647	0.1006	0.2099	0.1771	0.4647
⋮	⋮	⋮	⋮	⋮	⋮	⋮
8	0.1816	0.4859	0.107	0.2271	0.196	0.4859
9	0.1817	0.4863	0.1071	0.2274	0.1964	0.4863
10	0.1818	0.4865	0.1072	0.2275	0.1965	0.4865
11	0.1818	0.4865	0.1072	0.2276	0.1966	0.4865
12	0.1818	0.4866	0.1072	0.2276	0.1966	0.4866
13	0.1818	0.4866	0.1072	0.2276	0.1967	0.4866
14	0.1818	0.4866	0.1072	0.2276	0.1967	0.4866
15	0.1818	0.4866	0.1072	0.2276	0.1967	0.4866

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