Finance and economics are complex nonlinear systems that are affected by various external
factors, including of course human action, bilateral relations, conflicts, and policy. Time …

The evolution of financial system depends not only on the current state, but also on the
previous state. Due to “long-term memory” and “non-locality” of the fractional derivative …

In this paper, a delayed fractional order financial system is proposed and the complex
dynamical behaviors of such a system are discussed by numerical simulations. A great …

This study examines the two most attractive characteristics, memory and chaos, in
simulations of financial systems. A fractional-order financial system is proposed in this study …

Numerical discretization for the fractional differential equations is applied to the chaotic
financial model described by the Caputo derivative. The graphical representations to …

In this novel research, through dynamical analysis, we introduce for the first time a fractional-
calculus based artificial macroeconomic model, actually implemented in the Laboratory via a …

Modeling and analysis of financial systems have been interesting topics among researchers.
The more precisely we know dynamic of systems, the better we can deal with them. This …

Fractional Calculus and Fractional Processes with Applications to Financial Economics
presents the theory and application of fractional calculus and fractional processes to …

In general, a nonlinear system is a system which is not linear, that is, a system which does
not satisfy the superposition principle. In mathematics, a nonlinear system is any problem …

Fractional-order financial system introduced by W.-C. Chen 2008 displays chaotic motions at
order less than 3. In this paper we have extended the nonlinear feedback control in ODE …