Solution of Fractional Order System of Bagley-Torvik Equation Using Evolutionary Computational Intelligence

Table 5

Statistical analysis based on the value of absolute unsupervised error for example I.

𝑇		0			1
FDE-NN		PS	GA	GA-PS	PS	GA	GA-PS
Best	|𝑦(𝑡)−𝑦(𝑡)|	2.36e-2	4.87e-2	3.11e-3	2.35e-3	4.61e-4	1.06e-4
	|𝑦(́𝑡)−𝑦^′(𝑡)|	2.91e-2	6.13e-6	8.31e-4	9.59e-3	1.48e-3	2.62e-2
Worst	|𝑦(𝑡)−𝑦(𝑡)|	1.00232	0.18695	0.17193	0.82603	7.19e-2	6.87e-2
	|𝑦(́𝑡)−𝑦^′(𝑡)|	0.65725	6.63e-2	5.82𝑒−2	1.00357	0.12491	0.11201
Mean	|𝑦(𝑡)−𝑦(𝑡)|	0.32789	0.14635	0.12111	0.24834	3.36e-2	3.31e-2
	|𝑦(́𝑡)−𝑦^′(𝑡)|	0.27233	2.99e-2	2.90e-2	0.40912	7.54e-2	6.17e-2
STD	|𝑦(𝑡)−𝑦(𝑡)|	0.24679	3.25e-2	4.14e-2	0.20391	2.12e-2	2.00e-2
	|𝑦(́𝑡)−𝑦^′(𝑡)|	0.19051	1.78e-2	1.70e-2	0.28778	3.35e-2	3.37e-2