Theory and Modern Applications
Table 2 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 \(I(t)\)
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) | 1 | 1.57959 | 2.28636 | 3.12031 | 4.08144 | 5.16975 |
\({}^{c}D^{\nu }\) (ν = 0.98) | 1 | 1.586274 | 2.282928 | 3.0951379 | 4.0227778 | 5.065352 |
\({}^{cf}D^{\nu }\) (ν = 0.98) | 1.010371 | 1.582113 | 2.276007 | 3.0920537 | 4.030253 | 5.090604 |