Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/22336
Title: A fractional Malthusian growth model with variable order using an optimization approach
Author: Almeida, Ricardo
Bastos, Nuno R. O.
Monteiro, M. Teresa T.
Keywords: Fractional calculus
Fractional differential equation
Least squares
Issue Date: Mar-2018
Publisher: International Academic Press
Abstract: The objective is to study the population’s growth with a fractional differential equation. The order of the fractional derivative is a function depending on time and the goal is to determine the fractional order function that better fits the given data. The model is than tested to describe the world population growth and of some countries. All the numerical experiments were done in MATLAB, using the routines lsqcurvefit, fminunc and spline.
Peer review: yes
URI: http://hdl.handle.net/10773/22336
ISSN: 2310-5070
2311-004X
Publisher Version: http://www.iapress.org/index.php/soic/index
Appears in Collections:CIDMA - Artigos

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