Existence and uniqueness of solutions for multi-term fractional q-integro-differential equations via quantum calculus

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Some numerical results for calculation of Δ with \(q=\frac{1}{3}\) and \(n=15\) of Algorithm 6

n	\({}_{0}\lambda_{1}\)	\({}_{0}\lambda_{2}\)	\(\ell^{\ast}\)	Ω	Δ
1	0.084304	0.026252	0.013921	0.073438	0.081557
2	0.128131	0.035503	0.014745	0.077555	0.090246
3	0.145073	0.038644	0.014983	0.078740	0.093205
4	0.151006	0.039698	0.015059	0.079118	0.094206
5	0.153017	0.040050	0.015084	0.079242	0.094541
6	0.153691	0.040167	0.015092	0.079282	0.094651
7	0.153916	0.040206	0.015095	0.079297	0.094690
8	0.153991	0.040219	0.015096	0.079302	0.094703
9	0.154016	0.040224	0.015096	0.079302	0.094705
10	0.154024	0.040225	0.015097	0.079307	0.094712
11	0.154027	0.040226	0.015097	0.079307	0.094712
12	0.154028	0.040226	0.015097	0.079307	0.094713
13	0.154028	0.040226	0.015097	0.079307	0.094713
14	0.154028	0.040226	0.015097	0.079307	0.094713
15	0.154028	0.040226	0.015097	0.079307	0.094713