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Table 4 Some numerical results of \(\varLambda _{1i}\), \(\varLambda _{2i}\), and \(\varGamma _{q}(\zeta _{i}+1)\) in Example 1 for \(q=\frac{6}{7}\)

From: On a system of fractional q-differential inclusions via sum of two multi-term functions on a time scale

n \(q =\frac{6}{7}\)
\(\varLambda _{11}\) \(\varLambda _{21}\) \(\varGamma _{q}(\zeta _{1}+1)\) \(\varLambda _{12}\) \(\varLambda _{22}\) \(\varGamma _{q}(\zeta _{2}+1)\) \(\varLambda _{13}\) \(\varLambda _{23}\) \(\varGamma _{q}(\zeta _{3} + 1)\)
1 1.1914 1.0078 1.2002 0.6438 0.6785 1.5189 0.559 0.641 1.6878
2 1.2638 1.2688 1.1277 0.7963 0.9496 1.3487 0.7147 0.9078 1.4673
3 1.357 1.5226 1.0798 0.9337 1.2104 1.2408 0.8565 1.1673 1.3295
4 1.4502 1.7599 1.0458 1.0566 1.4544 1.1663 0.9839 1.4117 1.2356
5 1.5372 1.9772 1.0204 1.1655 1.6783 1.1121 1.0973 1.6369 1.1678
64 2.1482 3.5433 0.9128 1.8883 3.3064 0.8946 1.8536 3.28 0.9016
65 2.1482 3.5433 0.9128 1.8883 3.3064 0.8946 1.8536 3.28 0.9016
66 2.1482 3.5434 0.9128 1.8883 3.3064 0.8946 1.8536 3.28 0.9016
67 2.1482 3.5434 0.9128 1.8883 3.3064 0.8946 1.8536 3.28 0.9016
68 2.1482 3.5434 0.9128 1.8883 3.3065 0.8946 1.8536 3.2801 0.9016
69 2.1482 3.5434 0.9128 1.8883 3.3065 0.8946 1.8536 3.2801 0.9016
70 2.1482 3.5434 0.9128 1.8883 3.3065 0.8946 1.8536 3.2801 0.9016