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Issue title: Theory and Applications of Fractional Fourier Transform and its Variants
Guest editors: Yudong Zhang, Xiao-Jun Yang, Carlo Cattani, Zhengchao Dong, Ti-Fei Yuan and Liang-Xiu Han
Article type: Research Article
Authors: Tarasov, Vasily E.*
Affiliations: Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia. [email protected]
Correspondence: [*] Address for correspondence: Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Leninskie gory, GSP-1, Moscow 119991, Russian Federation
Abstract: 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.
Keywords: Fractional derivative, Riemann-Liouville derivative, Caputo derivative, derivations of Hadamard type, sampling theorem
DOI: 10.3233/FI-2017-1502
Journal: Fundamenta Informaticae, vol. 151, no. 1-4, pp. 431-442, 2017
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