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

Table 3

Comparison of results for the solution of example I.

𝑇	𝑦(𝑡)	𝑦(𝑡)					|𝑦(𝑡)−𝑦(𝑡)|
		PS	GA	GA-PS	PMA	VIM	GA-PS	PMA	VIM
0.0	0.00	2.73e-02	0.06730	0.03346	0.00000	0.00000	3.34e-2	0.00000	0.00000
0.1	0.01	0.012392	0.08925	0.04437	9.29e-3	0.01005	3.43e-2	7.04e-4	5.48e-5
0.2	0.04	0.049646	0.12802	0.07338	0.03892	0.04063	3.33e-2	1.07e-3	6.31e-4
0.3	0.09	0.111143	0.18375	0.12044	0.08873	0.09266	3.04e-2	1.26e-3	2.66e-3
0.4	0.16	0.196074	0.25676	0.18573	0.15867	0.16748	2.57e-2	1.32e-3	7.48e-3
0.5	0.25	0.303374	0.34756	0.26961	0.24871	0.26679	1.96e-2	1.28e-3	1.67e-2
0.6	0.36	0.431620	0.45684	0.37262	0.35883	0.39277	1.26e-2	1.16e-3	3.22e-2
0.7	0.49	0.578880	0.58548	0.49549	0.48903	0.54806	5.49e-3	9.67e-4	5.80e-2
0.8	0.64	0.742531	0.73455	0.63911	0.63928	0.73588	8.80e-4	7.14e-4	9.58e-2
0.9	0.81	0.919015	0.90530	0.80457	0.80958	0.96007	5.42e-3	4.12e-4	1.50e-1
1.0	1.00	1.103535	1.09922	0.99308	0.99993	1.22519	6.91e-3	6.83e-5	2.25e-1