Journal of Inequalities and Applications

Table 2 Numerical results of \(\nabla _{1}\), \(\nabla _{2}\), \(\Pi _{1}\), and \(\Pi _{2}\) for \(q = \frac{1}{2}\) in Example 5.1

From: Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

n	\(q = \frac{1}{7}\)
n	\(\Gamma _{q}(\nu +1)\)	\(\Gamma _{q}(\nu -\sigma +1)\)	\(\Gamma _{q}(\nu -2\sigma +1)\)	\(\nabla _{1}\)	\(\nabla _{2}\)	\(\Pi _{1}\)	\(\Pi _{2}\)	Σ
1	2.10842	2.02631	7.66976	1.13213	0.02626	0.66731	0.21910	0.24951
2	1.99300	2.03657	8.66291	1.19769	0.02613	0.65463	0.19399	0.22443
3	1.94055	2.04137	9.15257	1.23006	0.02607	0.64928	0.18361	0.21407
4	1.91550	2.04369	9.39580	1.24615	0.02604	0.64681	0.17885	0.20933
5	1.90326	2.04484	9.51703	1.25417	0.02602	0.64562	0.17658	0.20706
6	1.89720	2.04541	9.57755	1.25817	0.02601	0.64503	0.17546	0.20595
7	1.89419	2.04569	9.60778	1.26017	0.02601	0.64474	0.17491	0.20540
8	1.89269	2.04583	9.62290	1.26117	0.02601	0.64460	0.17463	0.20512
9	1.89194	2.04590	9.63045	1.26167	0.02601	0.64453	0.17450	0.20499
10	1.89156	2.04594	9.63423	1.26192	0.02601	0.64449	0.17443	0.20492
11	1.89137	2.04595	9.63612	1.26205	0.02601	0.64447	0.17439	0.20488
12	1.89128	2.04596	9.63706	1.26211	0.02601	0.64446	0.17438	0.20487
13	1.89123	2.04597	9.63753	1.26214	0.02601	0.64446	0.17437	0.20486
14	1.89121	2.04597	9.63777	1.26216	0.02601	0.64446	0.17436
15	1.89120	2.04597	9.63789	1.26216	0.02601	0.64445	0.17436	0.20485
16	1.89119	2.04597	9.63794	1.26217	0.02601	0.64445	0.17436	0.20485
17	1.89119	2.04597	9.63797	1.26217	0.02601	0.64445	0.17436	0.20485
18	1.89119	2.04597	9.63799	1.26217	0.02601	0.64445	0.17436	0.20485
19	1.89119	2.04597	9.63800	1.26217	0.02601	0.64445	0.17436	0.20485
20	1.89119	2.04597	9.63800	1.26217	0.02601	0.64445	0.17436	0.20485
21	1.89119	2.04597	9.63800	1.26217	0.02601	0.64445	0.17436	0.20485

Back to article page