Theory and Modern Applications
Table 3 Results of three types of derivative: Ordinary derivative \(D^{ \nu }\), Caputo fractional derivative \(^{c}D^{\nu }\), and Caputo–Fabrizio fractional derivative \(^{cf}D^{\nu }\) for \(N(t)\)
From: On the mathematical model of Rabies by using the fractional Caputo–Fabrizio derivative
t | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
\(D^{\nu }\) (ν = 1) | 10 | 10.19164 | 10.94056 | 12.24676 | 14.11024 | 16.531 |
\(^{c}D^{\nu }\) (ν = 0.95) | 10 | 10.2012980 | 10.951449 | 12.231931 | 14.033640 | 16.3503797 |
\(^{cf}D^{\nu }\) (ν = 0.95) | 9.998483 | 10.202680 | 10.942097 | 12.216736 | 14.026596 | 16.371678 |