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

Table 4

Comparison of results for derivative of the solution of example I.

𝑇	𝑦^′(𝑡)	𝑦^′(𝑡)			|𝑦^′(𝑡)−𝑦^′(𝑡)|
		PS	GA	GA-PS	PS	GA	GA-PS
0.0	0.00	0.00267	0.13526	0.017687	2.67e-3	1.80e-2	1.76e-2
0.1	0.20	0.24906	0.30350	0.199858	4.90e-2	9.07e-2	1.41e-4
0.2	0.40	0.49494	0.47211	0.380284	9.49e-2	1.20e-2	1.97e-2
0.3	0.60	0.73366	0.64301	0.561324	0.13366	1.34e-2	3.86e-2
0.4	0.80	0.96318	0.81805	0.745050	0.16318	3.14e-2	5.49e-2
0.5	1.00	1.18047	0.99909	0.933359	0.18047	2.07e-2	6.66e-2
0.6	1.12	1.38125	1.18798	1.128047	0.18125	6.03e-2	7.19e-2
0.7	1.40	1.55960	1.38659	1.330850	0.15960	1.80e-2	6.91e-2
0.8	1.60	1.70751	1.59685	1.543479	0.10751	9.07e-4	5.65e-2
0.9	1.80	1.81424	1.82073	1.767629	0.01424	1.20e-2	3.23e-2
1.0	2.00	1.86549	2.06033	2.004987	0.13450	1.34e-2	4.98e-3