Theory and Modern Applications
Table 1 Comparison between standard derivative, Caputo fractional derivatives and Caputo-Fabrizio fractional derivative for the potential smokers \(\pmb{P(t)}\)
t | Standard derivative ( ρ = 1) | Caputo derivative ( ρ = 0.95) | Caputo-Fabrizio derivative ( ρ = 0.95) |
|---|---|---|---|
1 | 0.6124398619 | 0.6126334075 | 0.6124401378 |
2 | 0.6218771047 | 0.6216116071 | 0.6214032210 |
3 | 0.6312904730 | 0.6303312432 | 0.6303433323 |
4 | 0.6406487116 | 0.6388461359 | 0.6392336738 |
5 | 0.6499205647 | 0.6471669258 | 0.6480474489 |