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Theory and Modern Applications

Table 3 Numerical results of exposed population \(E(t)\) 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

Exposed population E(t)

Absolute error

α = 0.7

α = 0.8

α = 0.9

α = 1

0

1.74512 × 106

1.73824 × 106

1.73129 × 106

1.72427 × 106

2.32831 × 10−10

50

1.19043 × 107

1.61123 × 107

2.14275 × 107

2.79884 × 107

1.86265 × 10−8

100

7.59901 × 107

1.10997 × 107

1.55765 × 108

2.11508 × 108

2.08616 × 10−7

150

2.51400 × 108

3.72009 × 108

5.26368 × 108

7.19307 × 108

8.34465 × 10−7

200

5.95356 × 108

8.84518 × 108

1.25536 × 109

1.71808 × 109

2.14577 × 10−6