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Power Functions and Their Relationship with the Unified Fractional Derivative

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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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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.

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Power function Two-sided derivative Unified fractional derivative Computer Science (miscellaneous) General Mathematics Engineering (miscellaneous)

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