2017
Том 69
№ 7

All Issues

Distributed-order calculus: An operator-theoretic interpretation

Kochubei A. N.

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Abstract

Within the Bochner-Phillips functional calculus and Hirsch functional calculus, we describe the operators of distributed-order differentiation and integration as functions of the classical operators of differentiation and integration, respectively.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 4, pp 551-562.

Citation Example: Kochubei A. N. Distributed-order calculus: An operator-theoretic interpretation // Ukr. Mat. Zh. - 2008. - 60, № 4. - pp. 478–486.

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