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Table 9 Some numerical results of \(M(\alpha , b)\) in equation (33) in Example 3 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)
114.051810.350414.051810.613110.034710.61312.05295.90455.9045
214.090610.369314.090611.593210.454611.59322.83736.70126.7012
314.096210.37214.096212.092810.658712.09283.60087.33817.3381
414.09710.372314.09712.34510.759412.3454.32797.86137.8613
514.097110.372414.097112.471710.809412.47175.01028.2998.299
614.097110.372414.097112.535210.834412.53525.64378.66968.6696
1814.097110.372414.097112.598710.859212.59879.972710.641810.6418
1914.097110.372414.097112.598710.859212.598710.141910.705610.7056
2014.097110.372414.097112.598810.859212.598810.293110.761910.7619
2114.097110.372414.097112.598810.859212.598810.428210.811810.8118
2214.097110.372414.097112.598810.859212.598810.548710.855910.8559
10514.097110.372414.097112.598810.859212.598811.52911.202611.529
10614.097110.372414.097112.598810.859212.598811.52911.202611.529
10714.097110.372414.097112.598810.859212.598811.529111.2026\( \underline{11}\underline{.}\underline{5291} \)
10814.097110.372414.097112.598810.859212.598811.529111.202611.5291
10914.097110.372414.097112.598810.859212.598811.529111.202611.5291
11014.097110.372414.097112.598810.859212.598811.529111.202611.5291