A New Optimal Homotopy Asymptotic Method for Fractional Optimal Control Problems

Table 2

Comparisons and absolute error between (OHAM and exact, ).

tk	OHAM z (t)	OHAM u (t)	Exact z (t)	Exact u (t)	Error z (t)	Error u (t)
0.0	1.00000000	0.00000000	1.00000000	0.00000000	0.00000000	0.00000000
0.1	0.667606464	0.68114171	0.667144195	0.681603987	0.000462277	0.000462269
0.2	0.572490044	1.15082042	0.571814575	1.151495891	0.000675469	0.000675471
0.3	0.513009607	1.53717622	0.512155196	1.538030634	0.000854411	0.000854414
0.4	0.470973769	1.88672253	0.469955226	1.887741076	0.001018543	0.001018546
0.5	0.451473134	2.21698046	0.443945101	2.218155658	0.007528033	0.001175198
0.6	0.439567403	2.53673706	0.438392205	2.538065126	0.001175198	0.001328066
0.7	0.415403119	2.85112316	0.414075062	2.852602442	0.001328057	0.001479282
0.8	0.396528946	3.16344266	0.395049669	3.165072917	0.001479277	0.001630257
0.9	0.38171058	3.47597703	0.38008033	3.477758981	0.00163025	0.001781951
1	0.36841575	3.79138812	0.368333813	3.792323188	8.1937E-05	0.000935068