Power Functions and Their Relationship with the Unified Fractional Derivative

  1. Manuel Duarte Ortigueira
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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.

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  1. Version published to 10.3390/math13050852
  2. Version published to 10.20944/preprints202502.0791.v1