On Fractional Operators and Their Classifications
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Date
2019
Authors
Baleanu, Dumitru
Fernandez, Arran
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MDPI
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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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Keywords
Fractional Calculus, Integral Transforms, Convergent Series
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Citation
Baleanu, Dumitru; Fernandez, Arran, "On Fractional Operators and Their Classifications", Mathematics, Vol. 7, No. 9, (September 2019).
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Source
Mathematics
Volume
7
Issue
9