# differential operator

(redirected from Derivative operator)
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Related to Derivative operator: Integral operator, Linear differential operator

## differential operator

[‚dif·ə′ren·chəl ′äp·ə‚rād·ər]
(mathematics)
An operator on a space of functions which maps a function ƒ into a linear combination of higher-order derivatives of ƒ.
References in periodicals archive ?
For n to be the smallest integer that exceeds [alpha], the Caputo time-fractional derivative operator of [alpha] > 0 is defined as
It is clear that the discrete derivative operator has an unconventional form:
Since the fractional derivative operator satisfies the semi-group properties (9); the solution to the equation
Srivastava,: Some families of fractional derivative and other linear derivative operators associated with analytic, univalent and multivalent functions, in: K.
Riemann-Liouville definition of the ath-order fractional derivative operator [sub.
then we obtain following Corollary concerning Riemann-Liouville fractional derivative operator [16].
When the sample time period is shorted, then the [delta]-operator approximates the derivative operator a so that it applies:
In terms of the fractional derivative operator Dl z of order l, defined below, with
For his deduction of Schrodinger equation from this fractal space-time classical mechanics, Nottale starts by defining the complex-time derivative operator
This work develops an arithmetic analogue of the theory of ordinary differential equations, in which functions are replaced by integer numbers, the derivative operator is replaced by a Fermat quotient operator, and differential equations are replaced by arithmetic differential equations.
The Caputo-time-fractional derivative operator of order [alpha] > 0 is defined as

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