Distributed-order calculus: An operator-theoretic interpretation
Within the Bochner – Phillips functional calculus and the Hirsch functional calculus, we describe the operators of distributed order differentiation and integration as functions of the classical differentiation and integration operators, respectively.
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| Date: | 2008 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2008
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164496 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Distributed-order calculus: An operator-theoretic interpretation / A.N. Kochubei // Український математичний журнал. — 2008. — Т. 60, № 4. — С. 478–486. — Бібліогр.: 16 назв. — англ. |