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

https://doi.org/10.48185/jfcns.v4i1.755

Authors

Keywords:

logistic fractional differential equation, Implicit solution, Caputo-Fabrizio fractional derivative, Caputo-Fabrizio integral. 2010 MSC: 39A50, 45K05, 65N22.

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.

Published

2023-06-30

How to Cite

Debbouche. (2023). Implicit solution for logistic Caputo-Fabrizio fractional differential equation with Allee effect. Journal of Fractional Calculus and Nonlinear Systems, 4(1), 1–7. https://doi.org/10.48185/jfcns.v4i1.755

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Section

Articles