Trends, directions for further research, and some open problems of fractional calculus
- 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.
Author: | Kai Diethelm, Virginia Kiryakova, Yuri Luchko, José A. Tenreiro Machado, Vasily E. Tarasov |
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DOI: | https://doi.org/https://doi.org/10.1007/s11071-021-07158-9 |
ISSN: | 1573-269X |
Parent Title (English): | Nonlinear Dynamics |
Document Type: | Article |
Language: | English |
Date of first Publication: | 2022/01/15 |
Publishing Institution: | Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt |
Release Date: | 2022/02/14 |
Tag: | fractional calculus |
Volume: | 107 |
First Page: | 3245 |
Last Page: | 3270 |
Institutes and faculty: | Fakultäten / Fakultät für angewandte Natur- und Geisteswissenschaften |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 512 Algebra |
Regensburger Klassifikation: | Mathematik |
Open access colour: | Hybrid |
Licence (German): | Creative Commons - CC BY - Namensnennung 4.0 International |