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Fractional Calculus of Piecewise Continuous Functions

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Detalhes bibliográficos
Resumo:The fractional derivative computation of piecewise continuous functions is treated with generality. It is shown why some applications give incorrect results and why Caputo derivative give strange results. Some examples are described.
Autores principais:Ortigueira, Manuel Duarte
Assunto:Caputo derivative Riemann-Liouville derivative Piecewise functions Liouville derivative Analysis Statistical and Nonlinear Physics Statistics and Probability
Ano:2025
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade Nova de Lisboa
Idioma:inglês
Origem:Repositório Institucional da UNL
Descrição
Resumo:The fractional derivative computation of piecewise continuous functions is treated with generality. It is shown why some applications give incorrect results and why Caputo derivative give strange results. Some examples are described.