Power Functions and Their Relationship with the Unified Fractional Derivative

Manuel Duarte Ortigueira ()
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Manuel Duarte Ortigueira: CTS-UNINOVA and LASI, NOVA School of Science and Technology, NOVA University of Lisbon, Quinta da Torre, 2829-516 Caparica, Portugal

Mathematics, 2025, vol. 13, issue 5, 1-21

Abstract: The different forms of power functions will be studied in connection with the unified fractional derivative, and their Fourier transform will be computed. In particular, one-sided, even, and odd powers will be studied.

Keywords: unified fractional derivative; two-sided derivative; power function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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