期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 39, 期 16, 页码 4846-4855出版社
WILEY-BLACKWELL
DOI: 10.1002/mma.3818
关键词
fractional calculus; fractional differential equation; numerical optimization
资金
- Portuguese funds through CIDMA - Center for Research and Development in Mathematics and Applications
- Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) [UID/MAT/04106/2013]
- ALGORITMI RD Center
- [PEst-UID/CEC/00319/2013]
This paper deals with fractional differential equations with dependence on a Caputo fractional derivative of real order. The goal is to show, based on concrete examples and experimental data from several experiments, that fractional differential equations may model more efficiently certain problems than ordinary differential equations. A numerical optimization approach based on least squares approximation is used to determine the order of the fractional operator that better describes real data, as well as other related parameters. Copyright (c) 2015 John Wiley & Sons, Ltd.
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