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Theory and Modern Applications

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