Advances in Continuous and Discrete Models

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

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	0.00001934	0.0000281	0.00002802	0.00001968	0.0000034
\(^{c}D^{\nu }\) (ν = 0.95)	0	0.00004318	0.0001218	0.0002826	0.0005667	0.0010129
\({}^{\mathrm{CF}}D^{\nu }\) (ν = 0.95)	0.000002	0.0000322	0.0000486	0.0000517	0.0000421	0.0000205

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