Journal of Inequalities and Applications

Table 1 Numerical results of \(\nabla _{1}\), \(\nabla _{2}\), \(\Pi _{1}\), and \(\Pi _{2}\) for \(q = \frac{1}{7}\) 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	1.14283	1.18028	3.79986	2.08868	0.04508	1.22423	0.44225	0.49497
2	1.14027	1.18063	3.84742	2.09337	0.04507	1.22027	0.43678	0.48950
3	1.13990	1.18068	3.85421	2.09404	0.04507	1.21971	0.43601	0.48873
4	1.13985	1.18069	3.85518	2.09413	0.04507	1.21963	0.43590	0.48862
5	1.13984	1.18069	3.85532	2.09415	0.04507	1.21962	0.43589
6	1.13984	1.18069	3.85534	2.09415	0.04507	1.21962	0.43588	0.48860
7	1.13984	1.18069	3.85534	2.09415	0.04507	1.21962	0.43588	0.48860
8	1.13984	1.18069	3.85534	2.09415	0.04507	1.21962	0.43588	0.48860
9	1.13984	1.18069	3.85534	2.09415	0.04507	1.21962	0.43588	0.48860

Back to article page