Fractional Calculus of Piecewise Continuous Functions

Ortigueira, Manuel Duarte

http://hdl.handle.net/10362/184842

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Autores

Ortigueira, Manuel Duarte

Resumo(s)

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.

Descrição

Funding Information: The author was partially funded by National Funds through the Foundation for Science and Technology of Portugal, under projects UIDB/00066/2020. Publisher Copyright: © 2025 by the author.

Palavras-chave

Caputo derivative Riemann-Liouville derivative Piecewise functions Liouville derivative Analysis Statistical and Nonlinear Physics Statistics and Probability