CAUCHY FRACTIONAL DERIVATIVE
2020 ◽
Vol 12
(4)
◽
pp. 28-32
Keyword(s):
In this paper, we introduce a new sort of fractional derivative. For this, we consider the Cauchy's integral formula for derivatives and modify it by using Laplace transform. So, we obtain the fractional derivative formula F(α)(s) = L{(–1)(α)L–1{F(s)}}. Also, we find a relation between Weyl's fractional derivative and the formula above. Finally, we give some examples for fractional derivative of some elementary functions.
2015 ◽
Vol 2015
◽
pp. 1-8
◽
1990 ◽
Vol 48
(3)
◽
pp. 413-433
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