Analysis of a Fractional-Order Couple Model with Acceleration in Feelings

Abstract EN

A fractional-order nonlinear dynamical model of couple has been introduced.

Upper bounds are obtained for a fractional-order nonlinear dynamical model.

Also different from other models, a model with the order 2α is discussed.

We are expecting an acceleration in feelings; that is why we increase the order of the derivative between 1<2α≤2.

Stability analysis of the fractional-order nonlinear dynamical model of involving two persons is studied using the fractional Routh-Hurwitz criteria.

By using stability analysis on fractional-order system, we obtain sufficient condition on the parameters for the locally asymptotic stability of equilibrium points.

Finally, numerical simulations are presented to verify the obtained results.