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Theory and Modern Applications

Table 4 Numerical results of infectious population \(I(t)\) 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

Infected population I(t)

Absolute error

α = 0.7

α = 0.8

α = 0.9

α = 1

0

7136.9

5030.55

2900.06

745

0

50

510,112

627,863

779,156

971,180

2.27708 × 10−7

100

2.53987 × 106

3.76779 × 106

5.40300 × 106

7.50897 × 106

9.53674 × 10−7

150

9.07833 × 106

1.38766 × 107

2.02139 × 107

2.83114 × 107

2.34693 × 10−6

200

2.31094 × 107

3.54094 × 107

5.15567 × 107

7.20841 × 107

4.57466 × 10−6