Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Comparison between the standard derivative, Caputo fractional derivatives, and Caputo–Fabrizio fractional derivative for \(S(t)\)

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)	50	76.4116	86.4888	89.1413	90.1514	90.6258
\({}^{c}D^{\alpha }\) (α = 0.95)	50	77.8345	85.689	88.4888	91.1344	92.678
\({}^{cf}D^{\alpha }\) (α = 0.95)	52.1327	77.5116	86.47658	89.9403	90.9814	91.0058

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