On Fractional Operators and Their Classifications
| dc.contributor.author | Fernandez, Arran | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2019-12-25T13:12:59Z | |
| dc.date.accessioned | 2025-09-18T16:07:58Z | |
| dc.date.available | 2019-12-25T13:12:59Z | |
| dc.date.available | 2025-09-18T16:07:58Z | |
| dc.date.issued | 2019 | |
| dc.description | Fernandez, Arran/0000-0002-1491-1820 | en_US |
| dc.description.abstract | Fractional calculus dates its inception to a correspondence between Leibniz and L'Hopital in 1695, when Leibniz described "paradoxes" and predicted that "one day useful consequences will be drawn" from them. In today's world, the study of non-integer orders of differentiation has become a thriving field of research, not only in mathematics but also in other parts of science such as physics, biology, and engineering: many of the "useful consequences" predicted by Leibniz have been discovered. However, the field has grown so far that researchers cannot yet agree on what a "fractional derivative" can be. In this manuscript, we suggest and justify the idea of classification of fractional calculus into distinct classes of operators. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Fernandez, Arran, "On Fractional Operators and Their Classifications", Mathematics, Vol. 7, No. 9, (September 2019). | en_US |
| dc.identifier.doi | 10.3390/math7090830 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85072337052 | |
| dc.identifier.uri | https://doi.org/10.3390/math7090830 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14915 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Integral Transforms | en_US |
| dc.subject | Convergent Series | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.title | On Fractional Operators and Their Classifications | en_US |
| dc.title | On Fractional Operators and Their Classifications | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Fernandez, Arran] Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, Via Mersin 10, TR-99628 Famagusta, North Cyprus, Turkey | en_US |
| gdc.description.issue | 9 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 830 | |
| gdc.description.volume | 7 | en_US |
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