Advances in Continuous and Discrete Models

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 \({}^{\mathrm{CF}}D^{\nu }\) for \(V(t)\)

From: Analysis of the model of HIV-1 infection of \(CD4^{+}\) T-cell with a new approach of fractional derivative

t	0	1	2	3	4	5
\(D^{\nu }\) (ν = 1)	0.001	0.003572	0.018088	0.04455	0.08295	0.1333
\(^{c}D^{\nu }\) (ν = 0.95)	0.001	0.0037256	0.017048	0.040028	0.072244	0.11341
\({}^{\mathrm{CF}}D^{\nu }\) (ν = 0.95)	0.0008677	0.0058764	0.0244969	0.0567293	0.1026	0.1620

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