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Table 8 Some numerical results of \(M(\alpha , b)\) in equation (31) in Example 2 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\(q =\frac{1}{7}\)\(q =\frac{1}{2}\)\(q =\frac{8}{9}\)
\(A_{1}(\alpha , b) \)\(A_{2}(\alpha , b)\)M(α,b)\(A_{1}(\alpha , b) \)\(A_{2}(\alpha , b)\)M(α,b)\(A_{1}(\alpha , b) \)\(A_{2}(\alpha , b)\)M(α,b)
13.27872.41513.27872.47642.34142.47640.4791.37771.3777
23.28782.41953.28782.70512.43942.70510.6621.56361.5636
33.28912.42013.28912.82172.4872.82170.84021.71221.7122
43.28932.42023.28932.88052.51052.88051.00981.83431.8343
53.28932.42023.28932.91012.52222.91011.1691.93641.9364
63.28932.42023.28932.92492.5282.92491.31692.02292.0229
133.28932.42023.28932.93962.53382.93962.04862.37292.3729
143.28932.42023.28932.93972.53382.93972.1172.40092.4009
153.28932.42023.28932.93972.53382.93972.17842.42552.4255
163.28932.42023.28932.93972.53382.93972.23352.44722.4472
173.28932.42023.28932.93972.53382.93972.28282.46622.4662
183.28932.42023.28932.93972.53382.93972.3272.48312.4831
883.28932.42023.28932.93972.53382.93972.692.61392.69
893.28932.42023.28932.93972.53382.93972.692.61392.69
903.28932.42023.28932.93972.53382.93972.692.61392.69
913.28932.42023.28932.93972.53382.93972.69012.61392.6901
923.28932.42023.28932.93972.53382.93972.69012.61392.6901
933.28932.42023.28932.93972.53382.93972.69012.61392.6901
943.28932.42023.28932.93972.53382.93972.69012.61392.6901