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Power Functions and Their Relationship with the Unified Fractional Derivative

Author

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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)

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.

Suggested Citation

  • Manuel Duarte Ortigueira, 2025. "Power Functions and Their Relationship with the Unified Fractional Derivative," Mathematics, MDPI, vol. 13(5), pages 1-21, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:5:p:852-:d:1605315
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