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Interpretation of Fractional Derivatives as Reconstruction from Sequence of Integer Derivatives

Tarasov V. E.

Fundamenta Informaticae

2017

Vol. 151, nr 1/4

431--442

In this paper, we propose an “informatic” interpretation of the Riemann-Liouville and Caputo derivatives of non-integer orders as reconstruction from infinite sequence of standard derivatives of integer orders. The reconstruction is considered with respect to orders of derivatives.