A fractional Malthusian growth model with variable order using an optimization approach
| Autor: | Nuno R. O. Bastos, M. Teresa T. Monteiro, Ricardo Almeida |
|---|---|
| Přispěvatelé: | Universidade do Minho |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Control and Optimization Population Engenharia e Tecnologia::Outras Engenharias e Tecnologias Unconstrained optimization 01 natural sciences Fractional calculus fractional differential equation least squares 010305 fluids & plasmas Least squares Artificial Intelligence 0103 physical sciences Applied mathematics 0101 mathematics MATLAB education computer.programming_language Mathematics education.field_of_study Malthusian growth model Fractional calculus Fractional differential equation 010101 applied mathematics Spline (mathematics) Signal Processing Computer Vision and Pattern Recognition Statistics Probability and Uncertainty Fractional differential lcsh:Probabilities. Mathematical statistics lcsh:QA273-280 computer Information Systems |
| Zdroj: | Statistics, Optimization and Information Computing, Vol 6, Iss 1, Pp 4-11 (2018) Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| Popis: | 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. The first and second authors were supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCTFundação para a Ciência e a Tecnologia), within project UID/MAT/04106/2013; third author by the ALGORITMI R&D Center and project PEst-UID/CEC/00319/2013. info:eu-repo/semantics/publishedVersion |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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