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Theory and Modern Applications

Table 5 Numerical results of asymptomatic infected population \(A(t)\) for fractional parameter \(\tau=0.7,0.8,0.9,1\) and comparison between classical and approximate solution

From: A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control

t

Asymptotic infected population A(t)

Absolute error

α = 0.7

α = 0.8

α = 0.9

α = 1

0

17,777.5

12,049.6

6959.01

413

0

50

3.42203 × 108

5.00188 × 108

7.00586 × 108

9.48444 × 108

1.19209 × 10−7

100

2.76018 × 109

4.07858 × 109

5.76149 × 109

7.85341 × 109

0

150

9.34626 × 109

1.38584 × 1010

1.96297 × 1010

2.68150 × 1010

0

200

2.21928 × 1010

3.29629 × 1010

4.67521 × 1010

6.39332 × 1010

0