A New Optimal Homotopy Asymptotic Method for Fractional Optimal Control Problems

Table 6

Comparisons of (OHAM and exact, ).

	OHAM (t)	OHAM (t)	OHAM u (t)	Exact (t)	Exact (t)	Exact u (t)
0.0	1.0000000	0.00000000	1.0000000	0.00000000	0.0000000	0.00000000
0.1	0.388025392	0.852996359	−0.178200169	0.387385984	0.852143789	−0.178609739
0.2	0.348055508	0.727602788	−0.126901219	0.347524221	0.726149037	−0.127572209
0.3	0.360826387	0.620642529	−0.102402516	0.360365496	0.618783392	−0.10322697
0.4	0.385903334	0.529405818	−8.63E−02	0.385494492	0.527292424	−8.72E−02
0.5	0.385903334	0.451581235	−7.29E−02	0.385494492	0.449328964	−7.38E−02
0.6	0.411381137	0.385197149	−5.97E−02	0.411013257	0.382892886	−6.06E−02
0.7	0.433264531	0.328571766	−4.68E−02	0.432930139	0.326279795	−4.69E−02
0.8	0.450436393	0.28027052	−3.21E−02	0.4501301	0.278037301	−3.22E−02
0.9	0.46293519	0.239069733	−1.65E−02	0.462652925	0.236927759	−1.66E−02
1	0.47099984	0.207193943	−1.69E−03	0.470997167	0.205152843	−1.70E−03