V.V. Vasiliev, L.A. Simak, A.V. Vasiliev
Èlektron. model. 2018, 38(4):13-34
https://doi.org/10.15407/emodel.38.04.013
ABSTRACT
The application of approximation-operational method based on the local and global versions of the Legendre polynomials for estimating the average signal values, the average values derivatives of the first and second orders, as well as the evaluation of the fractional derivatives of various orders in the Riemann-Liouville and Caputo sense. Illustrative examples of the method application for digital signal processing and simulation of dynamic systems of fractional order in the system software environment «Mathematica®»
KEYWORDS
fractional calculus, approximation and signal processing, operational calculus, dynamical system, Caputo type fractional derivative, Riemann-Liouville type fractional derivative, Matematica® System.
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