We consider a new investigations to the competition model in fractional derivative of Caputo-Fabrizio type with Newton based polynomial approach. We first, give brief discussion on the model in integer case and then apply the Caputo-Fabrizio derivative for the model generalization. We explore the fixed points of the model and present their stability results. Considering the actual data of commercial and rural banks in Indonesia since 2004–2014, we obtain the real parameters. We provide many graphical illustrations for the data fitting versus model with this new approach and identify the suitable order of ρ for data fitting. Some graphical results are shown in order to show the effectiveness of the proposed new scheme.
- Fractional Caputo-Fabrizio competition model
- Newton polynomial approach
- Numerical results
- Real data