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Theory and Modern Applications

Table 5 Comparison between the standard derivative, Caputo fractional derivatives, and Caputo–Fabrizio fractional derivative for \(V(t)\)

From: A mathematical theoretical study of a particular system of Caputo–Fabrizio fractional differential equations for the Rubella disease model

 

t

 

0

1

2

3

4

5

\(D^{\alpha }\) (α = 1)

19.1246

36.8261

56.9181

85.2111

125.6753

186.7658

\({}^{c}D^{\alpha }\) (α = 0.95)

19.5831

37.9461

59.7263

88.0051

129.8584

190.6483

\({}^{cf}D^{\alpha }\) (α = 0.95)

20.8921

37.6961

58.1155

86.5283

127.6918

187.9709