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A fractional Malthusian growth model with variable order using an optimization approach

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Detalhes bibliográficos
Resumo:The goal of this work is to show, based on concrete data, that fractional differential equations with variable fractional order are more efficient to model the world population growth than the classical differential equation, or even a fractional differential equation with constant order. With these new models, we can predict more efficiently the population growth based on the present data.
Autores principais:Almeida, Ricardo
Outros Autores:Bastos, Nuno; Monteiro, M. Teresa T.
Assunto:Fractional calculus Fractional differential equation Least squares Unconstrained optimization Engenharia e Tecnologia::Outras Engenharias e Tecnologias
Ano:2016
País:Portugal
Tipo de documento:comunicação em conferência
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
Descrição
Resumo:The goal of this work is to show, based on concrete data, that fractional differential equations with variable fractional order are more efficient to model the world population growth than the classical differential equation, or even a fractional differential equation with constant order. With these new models, we can predict more efficiently the population growth based on the present data.