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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 Comparison between standard derivative, Caputo fractional derivatives and Caputo-Fabrizio fractional derivative for the temporary quitters \(\pmb{Q(t)}\)

From: A new fractional model for giving up smoking dynamics

t

Standard derivative ( ρ  = 1)

Caputo derivative ( ρ  = 0.95)

Caputo-Fabrizio derivative ( ρ  = 0.95)

1

0.03376048059

0.03377405752

0.03374711339

2

0.03464368108

0.03460575042

0.03458444010

3

0.03531175962

0.03521909598

0.03523042414

4

0.03582687433

0.03568394356

0.03573835831

5

0.03625118333

0.03606106299

0.03616153544

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