Abstract
The present chapter proposes modeling of complex fractional-order chaotic
ifnancial system with control. Here, we have added critical minimum interest rate ‘d’
as a new parameter to get a novel stable ifnancial model. The fractional derivatives.
are taken in Caputo and Caputo-Fabrizio sense for the proposed ifnance system. Dynamical models in ifnancial system with complicated behavior provide a new.
perspective as result of trends and actual behavior of internal structure of the ifnancial.
system. A theoretical stabilization of the equilibria, as well as the numerical
simulations, are obtained. Furthermore, with sensitivity analysis, a certain threshold
estimation of the basic reproductive number has been made. Also, the stability
analysis of the model, together with uniqueness of the special solutions is provided.
The concept of controllability and observability for the linearized control model is
used for feedback control. The solution of the proposed fractional-order model has
been procured by employing different numerical techniques with comparison among
the solutions. The convergence analysis is carried out for the accuracy of the applied
scheme. Finally, some numerical simulations are given for three fractional-order
chaotic systems to verify the efectiveness for the obtained results. The fractal,
stochastic processes and prediction are used in particular mechanism of its application
to the macro and micro processes.