Theory and Modern Applications
Table 5 Comparison between standard derivative, Caputo fractional derivatives and Caputo-Fabrizio fractional derivative for the permanently quitters \(\pmb{R(t)}\)
t | Standard derivative ( ρ = 1) | Caputo derivative ( ρ = 0.95) | Caputo-Fabrizio derivative ( ρ = 0.95) |
|---|---|---|---|
1 | 0.02113719363 | 0.02107624005 | 0.02112963057 |
2 | 0.02400835647 | 0.02369345384 | 0.02385493816 |
3 | 0.02674146144 | 0.02611744835 | 0.02645645955 |
4 | 0.02935448146 | 0.02839320512 | 0.02894960428 |
5 | 0.03186538945 | 0.03055013348 | 0.03134978188 |