Distributed-order calculus: An operator-theoretic interpretation |
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Authors: | A N Kochubei |
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Institution: | (1) Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev, Ukraine |
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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.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 4, pp. 478–486, April, 2008. |
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Keywords: | |
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