Fractional calculus in dynamic systems: applications involving agricultural biosystems

• Grant number: 14/02041-9
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2014
• End date: April 30, 2016
• Field of knowledge: Interdisciplinary Subjects
• Principal Investigator: Sergio Adriani David
• Grantee: Sergio Adriani David
• Host Institution: Faculdade de Zootecnia e Engenharia de Alimentos (FZEA). Universidade de São Paulo (USP). Pirassununga , SP, Brazil
• Associated researchers: clivaldo de oliveira ; Derick David Quintino

Abstract

In recent decades, the non-integer order calculus or fractional calculus (FC) - more often called - has become important in academic research as well as in applications in various areas of human knowledge, particularly those which admit mathematical models leading to solutions quite near those observed in reality. Such applications have been observed in the areas of physics, chemistry, viscoelasticity, electronics, electromagnetism, robotics, mechanical, telecommunications, rheology, control theory, biology, image and signal processing, economics, finance, among others. Biosystems, largely embraces several of the aforementioned areas. The main goal of this project is to research on the use of fractional calculus in dynamic systems, particularly involving agricultural biosystems. The work aims to deepen the knowledge in the area of fractional calculus and at the same time, try to apply it initially in different situations / examples involving dynamic systems in agricultural biosystems. In this context , we highlight the proposed study of the dynamics of prices of some agricultural commodities and a dynamic system of difusion of agronomic interest (heat , water or nutrients in the soil , for example) . The results may help guide strategies and serve as a starting point for making more efficient and useful actions to agribusiness. (AU)

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DAVID, S. A.; MACHADO, J. A. T.; QUINTINO, D. D.; BALTHAZAR, J. M.. Partial chaos suppression in a fractional order macroeconomic model. MATHEMATICS AND COMPUTERS IN SIMULATION, v. 122, p. 55-68, APR 2016. (10/15824-0, 14/02041-9)

DAVID, S. A.; FISCHER, C.; TENREIRO MACHADO, J. A.. Fractional electronic circuit simulation of a nonlinear macroeconomic model. AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, v. 84, p. 210-220, FEB 2018. (17/13815-3, 14/02041-9)

DAVID, SERGIO A.; TENREIRO MACHADO, J. A.; TREVISAN, LUCAS R.; INACIO, JR., CLAUDIO M. C.; LOPES, ANTONIO M.. Dynamics of Commodities Prices: Integer and Fractional Models. FUNDAMENTA INFORMATICAE, v. 151, n. 1-4, p. 389-408, 2017. (14/02041-9)

DAVID, SERGIO ADRIANI; DE SOUSA, RAFAEL VIEIRA; VALENTIM, JR., CARLOS ALBERTO; TABILE, RUBENS ANDRE; TENREIRO MACHADO, JOSE ANTONIO. Fractional PID controller in an active image stabilization system for mitigating vibration effects in agricultural tractors. COMPUTERS AND ELECTRONICS IN AGRICULTURE, v. 131, p. 1-9, DEC 2016. (14/02041-9)