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Remark to history of fractional derivatives on complex plane: Sonine-Letnikov and Nishimoto derivativesстатья
- Автор: Tarasov V.E.
- Журнал: Fractional Differential Calculus
- Том: 6
- Номер: 1
- Год издания: 2016
- Первая страница: 147
- Последняя страница: 149
- DOI: 10.7153/fdc-06-10
- Аннотация: An important part of fractional calculus is connected with the fractional-order integrodifferentiation in the complex plane, which is generalization of the well-known Cauchy differentiation formula. In some publications this generalization is called the Nishimoto fractional derivatives. In our paper, we emphasize the fact that the generalization of the Cauchy’s differentiation formula to non-integer orders has been suggested by Sonine in 1872 more than a hundred years before Nishimoto’s works. The Sonine approach has been adjusted by Letnikov in 1873 and then it has been developed by Nekrasov in 1888.
- Добавил в систему: Тарасов Василий Евгеньевич
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | fdc-06-10.pdf | 70,6 КБ | 14 июня 2016 [VasilyTarasov] |