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Table 5 Comparisons between the value of objective function \(J^{*}(\mathfrak{X},\mathfrak{U})\) using NSFDM and SFDM when \(0 \leq u_{1}\leq 0.8\), \(0 \leq u_{2}\leq 0.5\), at different time delay d and different α with \(\Delta t=1\), \(T_{f}=100\)

From: Fractional optimal control in transmission dynamics of West Nile virus model with state and control time delay: a numerical approach

d Method α \(J^{*}(\mathfrak{X},\mathfrak{U})\)
3 NSFDM 1 44,560
0.98 40,721
0.90 27,976
SFDM 1 45,647
0.98 41,616
0.90 28,328
5 NSFDM 1 46,577
0.98 42,650
0.90 29,538
SFDM 1 49,845
0.98 45,501
0.90 31,115
7 NSFDM 1 49,176
0.98 45,103
0.90 31,419
SFDM 1 54,946
0.98 50,146
0.90 34,238
10 NSFDM 1 53,826
0.98 49,412
0.90 34,499
SFDM 1 62,325
0.98 56,813
0.90 38,610