Exponential Euler scheme of multi-delay Caputo-Fabrizio fractional-order differential equations

This paper establishes the basic structure of the exponential Euler difference form for Caputo-Fabrizio fractional-order differential equations (CF-FODEs) with multiple lags. The research shows that the acquired difference form (i.e., discrete time CF-FODEs) belongs to the scope of implicit Euler differences and then the fractional PECE algorithm is proposed to solve this implicit difference. At last, global dynamics of the discrete-time CF-FODEs is discussed from the viewpoint of control theory. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper establishes the basic structure of the exponential Euler difference form for Caputo-Fabrizio fractional-order differential equations (CF-FODEs) with multiple lags and proposes a fractional PECE algorithm to solve this implicit difference. The global dynamics of the discrete-time CF-FODEs is discussed from the viewpoint of control theory.