Theory and Modern Applications
Table 2 Comparison between standard derivative, Caputo fractional derivatives and Caputo-Fabrizio fractional derivative for the occasional smokers \(\pmb{L(t)}\)
t | Standard derivative ( ρ = 1) | Caputo derivative ( ρ = 0.95) | Caputo-Fabrizio derivative ( ρ = 0.95) |
|---|---|---|---|
1 | 0.2416136687 | 0.2416475729 | 0.2416146612 |
2 | 0.2432477561 | 0.2432024968 | 0.2431675083 |
3 | 0.2449020824 | 0.2447359790 | 0.2447386087 |
4 | 0.2465764697 | 0.2462618874 | 0.2463278099 |
5 | 0.2482707411 | 0.2477865184 | 0.2479349601 |