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

n	τ	\(\vartheta _{j}\)				ϑ
n	τ	\(\vartheta _{1}\)	\(\vartheta _{2}\)	\(\vartheta _{3}\)	\(\vartheta _{4}\)	ϑ
1	1.00	0.0000	0.0207	0.2827	0.0000	−0.0059
2	1.05	0.0506	0.0207	0.2827	0.2281	0.0057
3	1.10	0.1040	0.0207	0.2827	0.3436	0.0299
4	1.15	0.1569	0.0207	0.2827	0.4342	0.0623
5	1.20	0.2087	0.0207	0.2827	0.5108	0.1008
6	1.25	0.2593	0.0207	0.2827	0.5780	0.1440
7	1.30	0.3086	0.0207	0.2827	0.6382	0.1911
8	1.35	0.3565	0.0207	0.2827	0.6928	0.2411
9	1.40	0.4031	0.0207	0.2827	0.7430	0.2937
10	1.45	0.4484	0.0207	0.2827	0.7895	0.3482
11	1.50	0.4925	0.0207	0.2827	0.8328	0.4043
12	1.55	0.5355	0.0207	0.2827	0.8734	0.4618
13	1.60	0.5772	0.0207	0.2827	0.9115	0.5203
14	1.65	0.6179	0.0207	0.2827	0.9476	0.5797
15	1.70	0.6576	0.0207	0.2827	0.9817	0.6397
16	1.75	0.6963	0.0207	0.2827	1.0142	0.7003
17	1.80	0.7340	0.0207	0.2827	1.0451	0.7613
18	1.85	0.7708	0.0207	0.2827	1.0746	0.8225
19	1.90	0.8068	0.0207	0.2827	1.1029	0.8839
20	1.95	0.8419	0.0207	0.2827	1.1300	0.9455
21	2.00	0.8762	0.0207	0.2827	1.1560	1.0071