Compute the fractional derivative of an expression
Contributed by:
Oleg Marichev & Paco Jain (Wolfram Research)
Examples
Basic Examples (5)
Compute a fractional derivative of a power function:
The first-order fractional derivative is equivalent to differentiation:
The negative-first-order fractional derivative is equivalent to indefinite integration:
Compute the fractional derivative of symbolic order α of an exponential function:
Compute the fractional derivative of symbolic order α of a logarithmic function:
Scope (1)
FractionalOrderD works with symbolic orders α:
Possible Issues (1)
FractionalOrderD may return results in terms of Unevaluated sums:
Interactive Examples (1)
Varying α from 0 to -1 smoothly relates a function and its derivative:
Neat Examples (1)
Create a table of fractional derivatives:
Related Links
Version History
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3.2.0
– 14 August 2023
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3.1.4
– 07 November 2022
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3.1.3
– 11 October 2022
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3.1.2
– 11 October 2022
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3.1.1
– 23 August 2022
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3.1.0
– 23 August 2022
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3.0.0
– 23 August 2022
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2.1.0
– 11 September 2021
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2.0.0
– 05 October 2020
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1.0.0
– 23 September 2020
Related Resources
Author Notes
There are different ways of defining the fractional integro-derivative. The current implementation (v 1.0) implements only the Riemann-Liouville formulation. Another frequently used definition, the Grunwald-Letnikov formulation should perhaps be implemented in a future version.