α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results

Etemad, Sina; Rezapour, Shahram; Samei, Mohammad Esmael

doi:10.1186/s13662-020-02679-w

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 5 Some numerical results for calculation of the \(\Delta ^{(i)}\) in Example 1 for \(q=\frac{1}{7}, \frac{1}{2}, \frac{7}{8}\)

From: α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results

	\(q =\frac{1}{7}\)			\(q =\frac{1}{2}\)			\(q =\frac{7}{8}\)
n	\(\Delta ^{(1)}\)	\(\Delta ^{(2)}\)	\(\Delta ^{(3)}\)	\(\Delta ^{(1)}\)	\(\Delta ^{(2)}\)	\(\Delta ^{(3)}\)	\(\Delta ^{(1)}\)	\(\Delta ^{(2)}\)	\(\Delta ^{(3)}\)
1	6.8851	7.1054	1.7625	4.9587	5.4326	1.4216	2.4252	2.8232	0.8529
2	6.8883	7.1084	1.7611	5.0932	5.5666	1.4203	2.701	3.1283	0.9157
3	6.8888	7.1089	1.7609	5.1594	5.6326	1.4196	2.9255	3.3747	0.9626
4	6.8888	7.1089	1.7608	5.1922	5.6653	1.4192	3.1128	3.5791	0.9992
5	6.8888	7.1089	1.7608	5.2086	5.6816	1.419	3.2714	3.7514	1.0286
6	6.8888	7.1089	1.7608	5.2168	5.6898	1.4189	3.4068	3.8981	1.0527
7	6.8888	7.1089	1.7608	5.2209	5.6938	1.4188	3.5232	4.0238	1.0726
8	6.8888	7.1089	1.7608	5.2229	5.6959	1.4188	3.6237	4.132	1.0893
9	6.8888	7.1089	1.7608	5.2239	5.6969	1.4188	3.7106	4.2256	1.1034
10	6.8888	7.1089	1.7608	5.2245	5.6974	1.4188	3.7861	4.3066	1.1154
11	6.8888	7.1089	1.7608	5.2247	5.6976	1.4188	3.8516	4.3769	1.1256
12	6.8888	7.1089	1.7608	5.2248	5.6978	1.4188	3.9086	4.438	1.1343
13	6.8888	7.1089	1.7608	5.2249	5.6978	1.4188	3.9583	4.4911	1.1418
14	6.8888	7.1089	1.7608	5.2249	5.6979	1.4188	4.0015	4.5374	1.1483
15	6.8888	7.1089	1.7608	5.2249	5.6979	1.4188	4.0393	4.5778	1.1539
16	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.0722	4.6129	1.1587
17	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.101	4.6437	1.1629
18	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.1261	4.6705	1.1666
⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮
65	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3002	4.8562	1.1912
66	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3003	4.8562	1.1913
67	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3003	4.8562	1.1913
68	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3003	4.8563	1.1913
69	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3004	4.8563	1.1913
70	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3004	4.8563	1.1913
71	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3004	4.8563	1.1913
72	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3004	4.8564	1.1913
73	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8564	1.1913
74	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8564	1.1913
75	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8564	1.1913
76	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8564	1.1913
77	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8564	1.1913
78	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8564	1.1913
79	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8564	1.1913
80	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8565	1.1913
81	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8565	1.1913
82	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8565	1.1913
83	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8565	1.1913
84	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8565	1.1913
85	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8565	1.1913
86	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8565	1.1913
87	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3005	4.8565	1.1913
88	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3006	4.8565	1.1913
89	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3006	4.8565	1.1913
90	6.8888	7.1089	1.7608	5.225	5.6979	1.4188	4.3006	4.8565	1.1913

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