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Table 4 Numerical results of the Riccati equation of problem 2 for α=1, 1 2 , 3 4

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

t α= 1 2 GEM α= 1 2 LAPM α= 3 4 GEM α= 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