Fractional-order Riccati differential equation: Analytical approximation and numerical results

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 Numerical results of the Riccati equation of problem 2 for $α = 1, \frac{1}{2}, \frac{3}{4}$

t	$α = \frac{1}{2}$ GEM	$α = \frac{1}{2}$ LAPM	$α = \frac{3}{4}$ GEM	$α = \frac{3}{4}$ LAPM	α = 1 LAPM
1	1.1283791670	0.69873925716	1.08806525252	0.73683666979	0.7615941560
2	0.8200613571	0.78565566383	0.88785292084	0.87018299629	0.9640275801
3	1.1896048240	0.82585713776	1.11809163866	0.91495001137	0.9950547537
4	0.7211473382	0.85006608584	0.84593506046	0.93590393958	0.9993292997
5	1.2627089888	0.86673312218	1.15537415211	0.94734255879	0.9999092043
6	0.5919620577	0.87923035124	0.79099259853	0.95361548723	0.9999877117
7	1.3249356376	0.88919590450	1.19828883587	0.95638359853	0.9999983377
8	0.4724965813	0.89752861875	0.72400539873	0.95643868318	0.9999997813
9	1.3489616923	0.90476369883	1.24172445342	0.95425989627	1.0000000063
10	0.4240319436	0.91123881947	0.65212406998	0.95020154024	1.0000001574