Article Contents
Article Contents

Application of Caputo-Fabrizio derivative to a cancer model with unknown parameters

• The present work explore the dynamics of the cancer model with fractional derivative. The model is formulated in fractional type of Caputo-Fabrizio derivative. We analyze the chaotic behavior of the proposed model with the suggested parameters. Stability results for the fixed points are shown. A numerical scheme is implemented to obtain the graphical results in the sense of Caputo-Fabrizio derivative with various values of the fractional order parameter. Further, we show the graphical results in order to study that the model behave the periodic and quasi periodic limit cycles as well as chaotic behavior for the given set of parameters.

Mathematics Subject Classification: Primary:26A33;Secondary:92J15.

 Citation:

• Figure 1.  The plot shows the dynamics of the model (1), when $\omega = 1$

Figure 2.  The plot shows the dynamics of the model (1), when $\omega = 0.95$

Figure 3.  The plot shows the dynamics of the model (1), when $\omega=0.9$

Figure 4.  The plot shows the dynamics of the model (1), when $\omega=0.85$

Figure 5.  The plot shows the dynamics of the model (1), when $\omega = 0.5$

Figure 6.  The plot shows the dynamics of the model (1), when $\omega = 1$

Figure 7.  The plot shows the dynamics of the model (1), when $\omega=0.9$

Figure 8.  The plot shows the dynamics of the model (1), when $\omega = 0.8$

Figure 9.  The plot shows the dynamics of the model (1), when $\omega = 1$

Figure 10.  The plot shows the dynamics of the model (1), when $\omega=0.9$

Figure 11.  The plot shows the dynamics of the model (1), when $h = 0.2$ and $\omega = 0.8$

Figures(11)