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

Stefania Tomasiello and Jorge E. Macías-Díaz ()
Additional contact information
Stefania Tomasiello: Institute of Computer Science, Faculty of Science and Technology, University of Tartu, 51009 Tartu, Estonia
Jorge E. Macías-Díaz: Department of Mathematics and Didactics of Mathematics, School of Digital Technologies, Tallinn University, 10120 Tallinn, Estonia

Mathematics, 2023, vol. 11, issue 10, 1-12

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.

Keywords: agri-food problems; fractional differential equations; mathematical models; advection–diffusion–reaction systems; Caputo derivative; Caputo–Fabrizio derivative; Atangana–Baleanu derivative; Riemann–Liouville derivative (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/10/2316/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/10/2316/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:10:p:2316-:d:1147993

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().