Theory and Modern Applications
Table 2 Numerical results of susceptible population \(S(t)\) for fractional parameter \(\tau=0.7,0.8, 0.9, 1\) and comparison between classical and approximate solution
t | Susceptible population S(t) | Absolute error | |||
|---|---|---|---|---|---|
α = 0.7 | α = 0.8 | α = 0.9 | α = 1 | ||
0 | 1.35088 × 109 | 1.35088 × 109 | 1.35088 × 109 | 1.35088 × 109 | 0 |
50 | 1.34057 × 109 | 1.333653 × 109 | 1.33500 × 109 | 1.32537 × 109 | 0 |
100 | 1.28180 × 109 | 1.25053 × 109 | 1.21088 × 109 | 1.16185 × 109 | 7.15256 × 10−7 |
150 | 1.12703 × 109 | 1.02199 × 109 | 8.88152 × 108 | 7.22024 × 108 | 0 |
190 | 9.02255 × 108 | 6.89022 × 108 | 4.16846 × 108 | 7.85013 × 108 | 0 |