Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Numerical results of \(\vartheta _{j}\) for \(j=1,2,3,4\) and ϑ, in Example 2

n	τ	\(\vartheta _{j}\)				ϑ
n	τ	\(\vartheta _{1}\)	\(\vartheta _{2}\)	\(\vartheta _{3}\)	\(\vartheta _{4}\)	ϑ
1	1.00	0.0000	0.0228	0.3530	0.0000	−0.0080
2	1.05	0.0769	0.0228	0.3530	0.5237	0.0322
3	1.10	0.1427	0.0228	0.3530	0.6255	0.0812
4	1.15	0.2032	0.0228	0.3530	0.6924	0.1326
5	1.20	0.2597	0.0228	0.3530	0.7430	0.1849
6	1.25	0.3130	0.0228	0.3530	0.7839	0.2373
7	1.30	0.3635	0.0228	0.3530	0.8183	0.2894
8	1.35	0.4115	0.0228	0.3530	0.8480	0.3409
9	1.40	0.4574	0.0228	0.3530	0.8742	0.3918
10	1.45	0.5013	0.0228	0.3530	0.8975	0.4419
11	1.50	0.5434	0.0228	0.3530	0.9185	0.4911
12	1.55	0.5838	0.0228	0.3530	0.9377	0.5394
13	1.60	0.6228	0.0228	0.3530	0.9553	0.5869
14	1.65	0.6604	0.0228	0.3530	0.9715	0.6335
15	1.70	0.6967	0.0228	0.3530	0.9865	0.6792
16	1.75	0.7317	0.0228	0.3530	1.0005	0.7241
17	1.80	0.7657	0.0228	0.3530	1.0137	0.7681
18	1.85	0.7986	0.0228	0.3530	1.0260	0.8113
19	1.90	0.8305	0.0228	0.3530	1.0376	0.8537
20	1.95	0.8615	0.0228	0.3530	1.0486	0.8953
21	2.00	0.8916	0.0228	0.3530	1.0590	0.9362