Ortigueira, Manuel Duarte2025-07-042025-07-042025-01-242504-3110PURE: 121003746PURE UUID: a9c7247c-ca82-43eb-97d2-1a81fb6fd00fScopus: 85218883314WOS: 001430851600001ORCID: /0000-0003-4270-3284/work/187323959http://hdl.handle.net/10362/184842Funding 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.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.16408944engCaputo derivativeRiemann-Liouville derivativePiecewise functionsLiouville derivativeAnalysisStatistical and Nonlinear PhysicsStatistics and Probabilityjournal article10.3390/fractalfract9020075https://www.scopus.com/pages/publications/85218883314https://www.webofscience.com/wos/woscc/full-record/WOS:001430851600001