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

Table 2

FDE-NN weights trained by different solvers for example I.

i	𝑤𝑖			𝛼𝑖			𝛽𝑖
	PS	GA	GA-PS	PS	GA	GA-PS	PS	GA	GA-PS
1	0.227249	0.014313	0.076813	0.731960	−1.16770	−1.16770	0.769316	0.046808	0.042905
2	0.031563	−0.15713	−0.15713	0.708549	0.554705	0.304705	0.871064	−0.73877	−0.73877
3	0.121262	−0.29925	3.669499	−7.73928	−0.16469	−0.16469	0.504503	−0.12463	−8.12463
4	2.583099	0.000465	0.000465	−4.61892	−0.74905	−0.74905	−4.77791	0.050833	0.050833
5	0.564499	1.169105	1.169105	0.941493	−0.14210	−0.14210	0.702424	−0.00566	−0.00566
6	0.659389	−1.30293	−1.30293	0.964177	0.334789	0.209789	0.748012	0.248267	0.248252
7	0.434814	−0.40253	−0.90253	0.988058	0.284607	0.284607	0.199868	0.648494	0.648494
8	−0.78165	0.906189	−5.09381	0.711952	−0.07749	3.922500	0.918857	0.372823	−7.62717
9	−0.19301	0.348033	−4.64415	0.595146	0.076874	0.014374	1.270213	−1.37687	−9.37687
10	0.192005	0.975022	0.943742	0.223502	0.271679	0.271679	0.873072	1.502332	1.502332