|
ИСТИНА |
Войти в систему Регистрация |
Интеллектуальная Система Тематического Исследования НАукометрических данных |
||
From fractional differential equations with Hilfer derivatives to discrete maps with memory. 2021. Vol.40. Article number: 296статья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или ScopusДата последнего поиска статьи во внешних источниках: 24 ноября 2021 г.
- Автор: Tarasov V.E.
- Журнал: Computational and Applied Mathematics
- Том: 40
- Год издания: 2021
- Издательство: SPRINGER
- Местоположение издательства: VAN GODEWIJCKSTRAAT 30, DORDRECHT, NETHERLANDS, 3311GZ
- Номер статьи: 296
- DOI: 10.1007/s40314-021-01674-5
- Аннотация: In this article, we proposed new discrete maps with memory (DMM). These maps are derived from fractional differential equations (FDE) with the Hilfer fractional derivatives of non-integer orders and periodic sequence of kicks. The suggested DMM are obtained from these equations without any approximation, and they are a discrete form of the exact solutions. DMM are proposed for arbitrary positive orders of equations with the Hilfer fractional derivatives. As an example, the suggested maps are described for the orders lying in the intervals (0, 1) and (1, 2). The maps, which are derived from the equations with the Hilfer operators, allow us to consider a whole range of the maps derived from the FDE with the Caputo and Riemann–Liouville fractional derivatives.
- Добавил в систему: Тарасов Василий Евгеньевич