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

Boundary Value Problems

Table 9 Some numerical results of \(M(\alpha , b)\) in equation (33) in Example 3 for \(q=\frac{1}{7}, \frac{1}{2}, \frac{8}{9}\)

n	\(q =\frac{1}{7}\)			\(q =\frac{1}{2}\)			\(q =\frac{8}{9}\)
n	\(A_{1}(\alpha , b) \)	\(A_{2}(\alpha , b)\)	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)
1	14.0518	10.3504	14.0518	10.6131	10.0347	10.6131	2.0529	5.9045	5.9045
2	14.0906	10.3693	14.0906	11.5932	10.4546	11.5932	2.8373	6.7012	6.7012
3	14.0962	10.372	14.0962	12.0928	10.6587	12.0928	3.6008	7.3381	7.3381
4	14.097	10.3723	14.097	12.345	10.7594	12.345	4.3279	7.8613	7.8613
5	14.0971	10.3724	14.0971	12.4717	10.8094	12.4717	5.0102	8.299	8.299
6	14.0971	10.3724	14.0971	12.5352	10.8344	12.5352	5.6437	8.6696	8.6696
⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮
18	14.0971	10.3724	14.0971	12.5987	10.8592	12.5987	9.9727	10.6418	10.6418
19	14.0971	10.3724	14.0971	12.5987	10.8592	12.5987	10.1419	10.7056	10.7056
20	14.0971	10.3724	14.0971	12.5988	10.8592	12.5988	10.2931	10.7619	10.7619
21	14.0971	10.3724	14.0971	12.5988	10.8592	12.5988	10.4282	10.8118	10.8118
22	14.0971	10.3724	14.0971	12.5988	10.8592	12.5988	10.5487	10.8559	10.8559
⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮
105	14.0971	10.3724	14.0971	12.5988	10.8592	12.5988	11.529	11.2026	11.529
106	14.0971	10.3724	14.0971	12.5988	10.8592	12.5988	11.529	11.2026	11.529
107	14.0971	10.3724	14.0971	12.5988	10.8592	12.5988	11.5291	11.2026	\( \underline{11}\underline{.}\underline{5291} \)
108	14.0971	10.3724	14.0971	12.5988	10.8592	12.5988	11.5291	11.2026	11.5291
109	14.0971	10.3724	14.0971	12.5988	10.8592	12.5988	11.5291	11.2026	11.5291
110	14.0971	10.3724	14.0971	12.5988	10.8592	12.5988	11.5291	11.2026	11.5291