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Caputo-Fabrizio operator in terms of integer derivatives: memory or distributed lag?статья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 3 июля 2019 г.
- Автор: Tarasov V.E.
- Журнал: Computational and Applied Mathematics
- Том: 38
- Год издания: 2019
- Издательство: SPRINGER
- Местоположение издательства: VAN GODEWIJCKSTRAAT 30, DORDRECHT, NETHERLANDS, 3311GZ
- Первая страница: 113-1
- Последняя страница: 113-15
- DOI: 10.1007/s40314-019-0883-8
- Аннотация: In this paper, we prove that linear and non-linear equations with the Caputo-Fabrizio operators can be represented as systems of differential equations with derivatives of integer orders. The order of these equations is not more than one with respect to the integer part of the highest order of the Caputo-Fabrizio operators. We state that the Caputo-Fabrizio operators with exponential kernel cannot describe non-locality and memory (temporal non-locality) in processes and systems. Using the principle of nonlocality for fractional derivatives of non-integer orders (“No non-locality. No fractional derivative”), we can state that the Caputo-Fabrizio operators cannot be considered as a fractional derivative. A general physical and economic interpretation (meaning) of the Caputo-Fabrizio operator is proposed. We state that physical and economic meaning of the Caputo-Fabrizio operators is continuously (exponentially) distributed lags.
- Добавил в систему: Тарасов Василий Евгеньевич