Trends, Directions for Further Research, and Some Open Problems of Fractional Calculus

Autor:	Kai Diethelm, Virginia Kiryakova, Yuri Luchko, J. A. Tenreiro Machado, Vasily E. Tarasov
Rok vydání:	2021
Předmět:	Mathematics - Classical Analysis and ODEs Control and Systems Engineering Applied Mathematics Mechanical Engineering Classical Analysis and ODEs (math.CA) FOS: Mathematics Aerospace Engineering Ocean Engineering Electrical and Electronic Engineering 26A33 34A08 82C41 91B55
DOI:	10.48550/arxiv.2108.04241
Popis:	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. Comment: 3 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5615dc7a7c38ee4938e8d62d233e1e01 Zobrazit plný text záznamu