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Trends, directions for further research, and some open problems of fractional calculusстатья
Статья опубликована в высокорейтинговом журнале
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: 16 марта 2022 г.
- Авторы: Tarasov Vasily E., Diethelm Kai, Kiryakova Virginia, Luchko Yuri, Tenreiro Machado J.A.
- Журнал: Nonlinear Dynamics
- Том: 107
- Номер: 4
- Год издания: 2022
- Издательство: Springer Nature
- Местоположение издательства: Switzerland
- Первая страница: 3245
- Последняя страница: 3270
- DOI: 10.1007/s11071-021-07158-9
- Аннотация: The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state of development and to foresee, if possible, the future evolution, or, at least, the challenges identified in the scope of advanced research works. This paper gives a vision about the directions for further research as well as some open problems of FC. A number of topics in mathematics, numerical algorithms and physics are analyzed, giving a systematic perspective for future research.The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state of development and to foresee, if possible, the future evolution, or, at least, the challenges identified in the scope of advanced research works. This paper gives a vision about the directions for further research as well as some open problems of FC. A number of topics in mathematics, numerical algorithms and physics are analyzed, giving a systematic perspective for future research.
- Добавил в систему: Тарасов Василий Евгеньевич