Generalized Grünwald–Letnikov Fractional Derivative and Its Laplace and Fourier Transforms

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Abstract

The generalized Grünwald–Letnikov fractional derivative is analyzed in this paper. Its Laplace and Fourier transforms are computed, and some current results are criticized. It is shown that only the forward derivative of a sinusoid exists. This result is used to define the frequency response of a fractional linear system.
Original languageUnknown
Pages (from-to)034501
JournalJournal Of Computational And Nonlinear Dynamics
Volume6
Issue number3
DOIs
Publication statusPublished - 1 Jan 2011

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