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Table 5 Some numerical results of \(m_{0}\) in equation (27) in Example 1 for \(q=\frac{1}{7}, \frac{1}{2}, \frac{8}{9}\)

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

n\(q =\frac{1}{7}\)\(q =\frac{1}{2}\)\(q =\frac{8}{9}\)
\(\varGamma _{q}(\beta _{2} +1)\)\(\varGamma _{q}( 2 -\beta _{1})\)\(m_{0}\)\(\varGamma _{q}(\beta _{2} +1)\)\(\varGamma _{q}( 2 -\beta _{1})\)\(m_{0}\)\(\varGamma _{q}(\beta _{2} +1)\)\(\varGamma _{q}( 2 -\beta _{1})\)\(m_{0}\)
10.96610.96560.96560.99650.97720.97721.69361.3891.389
20.96440.96420.96420.95650.94930.94931.49231.27331.2733
30.96410.9640.9640.93820.93640.93641.36281.19671.1967
40.96410.9640.9640.92940.93020.92941.27211.14191.1419
100.96410.9640.9640.9210.92430.9211.0310.99050.9905
110.96410.9640.9640.92090.92420.92091.01240.97830.9783
120.96410.9640.9640.92090.92420.92090.99670.96810.9681
130.96410.9640.9640.92090.92420.92090.98330.95930.9593
140.96410.9640.9640.92090.92420.92090.97190.95170.9517
150.96410.9640.9640.92090.92420.92090.9620.94520.9452
670.96410.9640.9640.92090.92420.92090.89280.89880.8928
680.96410.9640.9640.92090.92420.92090.89280.89880.8928
690.96410.9640.9640.92090.92420.92090.89280.89880.8928
700.96410.9640.9640.92090.92420.92090.89270.89880.8927
710.96410.9640.9640.92090.92420.92090.89270.89880.8927
720.96410.9640.9640.92090.92420.92090.89270.89880.8927