This work aims at providing a concise review of various agri-food models that employ fractional differential operators. In this context, various mathematical models based on fractional differential equations have been used to describe a wide range of problems in agri-food. As a result of this review, we found out that this new area of research is finding increased acceptance in recent years and that some reports have employed fractional operators successfully in order to model real-world data. Our results also show that the most commonly used differential operators in these problems are the Caputo, the Caputo-Fabrizio, the Atangana-Baleanu, and the Riemann-Liouville derivatives. Most of the authors in this field are predominantly from China and India.

A Mini-Review on Recent Fractional Models for Agri-Food Problems

Tomasiello S.
;
2023-01-01

Abstract

This work aims at providing a concise review of various agri-food models that employ fractional differential operators. In this context, various mathematical models based on fractional differential equations have been used to describe a wide range of problems in agri-food. As a result of this review, we found out that this new area of research is finding increased acceptance in recent years and that some reports have employed fractional operators successfully in order to model real-world data. Our results also show that the most commonly used differential operators in these problems are the Caputo, the Caputo-Fabrizio, the Atangana-Baleanu, and the Riemann-Liouville derivatives. Most of the authors in this field are predominantly from China and India.
2023
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4870512
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