The stabilization of a non-linear time series models with fractional functions

الملخص EN

In the paper, we introduced a definition of a non-linear model with fractional function of the time series in the detached time.

This model has two parts, linear part and non-linear part which contains the fractional function.

The local linearization technique is applied to approximate this model to be a linear model.

The real non-zero singular point will be found that satisfies the non-linear variation equation of the suggested model and we found the stability for the singular point and also the limit cycle if it exists for the model.