Theory and Modern Applications
Table 1 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 \(S(t)\)
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) | 9 | 8.61205 | 8.6542 | 9.12645 | 10.0288 | 11.36125 |
\({}^{c}D^{\nu }\) (ν = 0.98) | 9 | 8.6150 | 8.6685 | 9.1367 | 10.011 | 11.285 |
\({}^{cf}D^{\nu }\) (ν = 0.98) | 8.988112 | 8.620566 | 8.666090 | 9.124682 | 9.996344 | 11.281074 |