Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 Maximum absolute error for $N = 10$ and different values of γ , α , and β for Example 3

From: The operational matrix of Caputo fractional derivatives of modified generalized Laguerre polynomials and its applications

γ	α	β	error	α	β	error	α	β	error	α	β	error
0.1	1	2	4.72.10⁻⁷	$\frac{1}{2}$	$\frac{1}{2}$	3.84.10⁻⁷	2	1	1.17.10⁻⁸	3	3	1.54.10⁻⁶
0.2			1.52.10⁻³			1.10.10⁻⁴			2.49.10⁻⁵			5.24.10⁻³
0.01			0			0			0			2.00.10⁻¹⁸
0.02			0			0			5.7.10⁻¹⁷			6.66.10⁻¹⁵
0.05			1.22.10⁻¹⁰			1.83.10⁻¹⁰			3.28.10⁻¹²			3.92.10⁻¹⁰

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