dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Fernandez, Arran
|
|
dc.date.accessioned |
2019-12-25T13:12:59Z |
|
dc.date.available |
2019-12-25T13:12:59Z |
|
dc.date.issued |
2019-09 |
|
dc.identifier.citation |
Baleanu, Dumitru; Fernandez, Arran, "On Fractional Operators and Their Classifications", Mathematics, Vol. 7, No. 9, (September 2019). |
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dc.identifier.uri |
http://hdl.handle.net/20.500.12416/2289 |
|
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. |
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dc.language.iso |
eng |
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dc.publisher |
MDPI |
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dc.relation.isversionof |
10.3390/math7090830 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Fractional Calculus |
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dc.subject |
Integral Transforms |
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dc.subject |
Convergent Series |
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dc.title |
On Fractional Operators and Their Classifications |
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dc.type |
article |
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dc.relation.journal |
Mathematics |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
7 |
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dc.identifier.issue |
9 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü |
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