IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i10p2316-d1147993.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    Departamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes 20100, Mexico)

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.

Suggested Citation

  • Stefania Tomasiello & Jorge E. Macías-Díaz, 2023. "A Mini-Review on Recent Fractional Models for Agri-Food Problems," Mathematics, MDPI, vol. 11(10), pages 1-12, May.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2316-:d:1147993
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/10/2316/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/10/2316/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Shaw, Pawan Kumar & Kumar, Sunil & Momani, Shaher & Hadid, Samir, 2022. "Dynamical analysis of fractional plant disease model with curative and preventive treatments," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Mahmood, Tariq & ur Rahman, Mati & Arfan, Muhammad & Kayani, Sadaf-Ilyas & Sun, Mei, 2023. "Mathematical study of Algae as a bio-fertilizer using fractal–fractional dynamic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 207-222.
    3. Pardey, Philip G. & Beddow, Jason M. & Hurley, Terrance M., 2014. "World Food Futures to 2050," Briefs 197625, University of Minnesota, International Science and Technology Practice and Policy.
    4. Ilhan, Esin & Veeresha, P. & Baskonus, Haci Mehmet, 2021. "Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    5. Pelak, Norman & Revelli, Roberto & Porporato, Amilcare, 2017. "A dynamical systems framework for crop models: Toward optimal fertilization and irrigation strategies under climatic variability," Ecological Modelling, Elsevier, vol. 365(C), pages 80-92.
    6. Pardey, Philip G. & Beddow, Jason M. & Hurley, Terrance M. & Beatty, Timothy K.M. & Eidman, Vernon R., 2014. "A Bounds Analysis of World Food Futures: Global Agriculture Through to 2050," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 58(4), October.
    7. David Moher & Alessandro Liberati & Jennifer Tetzlaff & Douglas G Altman & The PRISMA Group, 2009. "Preferred Reporting Items for Systematic Reviews and Meta-Analyses: The PRISMA Statement," PLOS Medicine, Public Library of Science, vol. 6(7), pages 1-6, July.
    8. Changpin Li & Deliang Qian & YangQuan Chen, 2011. "On Riemann-Liouville and Caputo Derivatives," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-15, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anderson Jock R. & Birner Regina & Nagarajan Latha & Naseem Anwar & Pray Carl E., 2021. "Private Agricultural R&D: Do the Poor Benefit?," Journal of Agricultural & Food Industrial Organization, De Gruyter, vol. 19(1), pages 3-14, May.
    2. Chai, Yuan & Pardey, Philip G. & Chan-Kang, Connie & Huang, Jikun & Lee, Kyuseon & Dong, Wanlu, 2019. "Passing the food and agricultural R&D buck? The United States and China," Food Policy, Elsevier, vol. 86(C), pages 1-1.
    3. Grundy, Michael J. & Bryan, Brett A. & Nolan, Martin & Battaglia, Michael & Hatfield-Dodds, Steve & Connor, Jeffery D. & Keating, Brian A., 2016. "Scenarios for Australian agricultural production and land use to 2050," Agricultural Systems, Elsevier, vol. 142(C), pages 70-83.
    4. Pardey, Philip G. & Beddow, Jason M. & Hurley, Terrance M. & Beatty, Timothy K.M. & Eidman, Vernon R., 2014. "The International Agricultural Prospects Model: Assessing Consumption and Production Futures Through 2050 (version 2.1)," Staff Papers 182192, University of Minnesota, Department of Applied Economics.
    5. Beddow, Jason M. & Hurley, Terrance M. & Pardey, Philip G. & Alston, Julian M., 2015. "Rethinking yield gaps," Staff Papers 201093, University of Minnesota, Department of Applied Economics.
    6. Lana Awada & Peter W. B. Phillips, 2021. "The distribution of returns from land efficiency improvement in multistage production systems," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 69(1), pages 73-92, March.
    7. Qian Guo & Oreoluwa Ola & Emmanuel O. Benjamin, 2020. "Determinants of the Adoption of Sustainable Intensification in Southern African Farming Systems: A Meta-Analysis," Sustainability, MDPI, vol. 12(8), pages 1-13, April.
    8. Kym Anderson, 2016. "Agricultural Trade, Policy Reforms, and Global Food Security," Palgrave Studies in Agricultural Economics and Food Policy, Palgrave Macmillan, number 978-1-137-46925-0, October.
    9. Dias, Tomás Andrade da Cunha & Lora, Electo Eduardo Silva & Maya, Diego Mauricio Yepes & Olmo, Oscar Almazán del, 2021. "Global potential assessment of available land for bioenergy projects in 2050 within food security limits," Land Use Policy, Elsevier, vol. 105(C).
    10. Yin, Hsin-Bai & Patel, Jitendra, 2018. "Comparison of methods to determine the microbial quality of alternative irrigation waters," Agricultural Water Management, Elsevier, vol. 201(C), pages 38-45.
    11. Fernanda Zatti Barreto & Thiago Willian Almeida Balsalobre & Roberto Giacomini Chapola & Antonio Augusto Franco Garcia & Anete Pereira Souza & Hermann Paulo Hoffmann & Rodrigo Gazaffi & Monalisa Sampa, 2021. "Genetic Variability, Correlation among Agronomic Traits, and Genetic Progress in a Sugarcane Diversity Panel," Agriculture, MDPI, vol. 11(6), pages 1-15, June.
    12. Pedro Gerber Machado & Julia Tomei & Adam Hawkes & Celma de Oliveira Ribeiro, 2020. "A Simulator to Determine the Evolution of Disparities in Food Consumption between Socio-Economic Groups: A Brazilian Case Study," Sustainability, MDPI, vol. 12(15), pages 1-24, July.
    13. Wang, Hongzhang & Ren, Hao & Han, Kun & Li, Geng & Zhang, Lihua & Zhao, Yali & Liu, Yuee & He, Qijin & Zhang, Jiwang & Zhao, Bin & Ren, Baizhao & Liu, Peng, 2023. "Improving the net energy and energy utilization efficiency of maize production systems in the North China Plain," Energy, Elsevier, vol. 274(C).
    14. Fukase, Emiko & Martin, Will, 2020. "Economic growth, convergence, and world food demand and supply," World Development, Elsevier, vol. 132(C).
    15. Walter P. Falcon & Rosamond L. Naylor & Nikhil D. Shankar, 2022. "Rethinking Global Food Demand for 2050," Population and Development Review, The Population Council, Inc., vol. 48(4), pages 921-957, December.
    16. İlkay Unay-Gailhard & Mark A. Brennen, 2022. "How digital communications contribute to shaping the career paths of youth: a review study focused on farming as a career option," Agriculture and Human Values, Springer;The Agriculture, Food, & Human Values Society (AFHVS), vol. 39(4), pages 1491-1508, December.
    17. Mahin Ghafari & Vali Baigi & Zahra Cheraghi & Amin Doosti-Irani, 2016. "The Prevalence of Asymptomatic Bacteriuria in Iranian Pregnant Women: A Systematic Review and Meta-Analysis," PLOS ONE, Public Library of Science, vol. 11(6), pages 1-10, June.
    18. Elizabeth T Cafiero-Fonseca & Andrew Stawasz & Sydney T Johnson & Reiko Sato & David E Bloom, 2017. "The full benefits of adult pneumococcal vaccination: A systematic review," PLOS ONE, Public Library of Science, vol. 12(10), pages 1-23, October.
    19. Santos Urbina & Sofía Villatoro & Jesús Salinas, 2021. "Self-Regulated Learning and Technology-Enhanced Learning Environments in Higher Education: A Scoping Review," Sustainability, MDPI, vol. 13(13), pages 1-12, June.
    20. Oded Berger-Tal & Alison L Greggor & Biljana Macura & Carrie Ann Adams & Arden Blumenthal & Amos Bouskila & Ulrika Candolin & Carolina Doran & Esteban Fernández-Juricic & Kiyoko M Gotanda & Catherine , 2019. "Systematic reviews and maps as tools for applying behavioral ecology to management and policy," Behavioral Ecology, International Society for Behavioral Ecology, vol. 30(1), pages 1-8.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2316-:d:1147993. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.