Implicit solution for logistic Caputo-Fabrizio fractional differential equation with Allee effect

Abstract

In the current research work, the fractional version of logistic differential model is studied with Allee effect which includes a threshold population. It is also studied with initial conditions. The definition of the fractional derivative utilised in this research is the Caputo-Fabrizio. In order to give the solution of the posed problem by an implicit representation, a method based on fractional derivative properties is used.