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Table 10 Some numerical results of \(M(\alpha , b)\) in equation (33) in Example 3 for \(q=\frac{1}{7}, \frac{1}{2}, \frac{8}{9}\). Note that \((a) = m_{0}\), \((b) = 0.02 \times M(\alpha , b)\), and \((c) =2.02 \times M(\alpha , b)\)

From: On the existence of solutions for a multi-singular pointwise defined fractional q-integro-differential equation

n\(q =\frac{1}{7}\)\(q =\frac{1}{2}\)\(q =\frac{8}{9}\)
(a)(b)(c)(a)(b)(c)(a)(b)(c)
10.97380.28128.38461.03140.212321.43852.10010.118111.9271
20.97170.281828.4630.97960.231923.41831.78250.13413.5364
30.97140.281928.47430.95610.241924.42751.58380.146814.823
40.97140.281928.47590.94480.246924.93691.44750.157215.8798
50.97140.281928.47610.93930.249425.19281.34840.16616.764
60.97140.281928.47610.93650.250725.32111.27330.173417.5126
190.97140.281928.47610.93380.25225.44940.96460.214121.6253
200.97140.281928.47610.93380.25225.44960.9580.215221.739
210.97140.281928.47610.93380.25225.44960.95220.216221.8398
220.97140.281928.47610.93380.25225.44960.9470.217121.9289
230.97140.281928.47610.93380.25225.44960.94260.217922.0079
1030.97140.281928.47610.93380.25225.44960.90860.230623.2886
1040.97140.281928.47610.93380.25225.44960.90860.230623.2886
1050.97140.281928.47610.93380.25225.44960.90860.230623.2886
1060.97140.281928.47610.93380.25225.44960.90860.230623.2886
1070.97140.281928.47610.93380.25225.44960.90860.230623.2888
1080.97140.281928.47610.93380.25225.44960.90860.230623.2888
1090.97140.281928.47610.93380.25225.44960.90850.230623.2888