Sentence examples for differentiation of order from inspiring English sources

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(D_{ast}^{alpha}) denotes the operator of fractional differentiation of order (0

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In particular, we can cope quite easily with variable time steps and with multistep time differentiation methods like, e.g., the backward differentiation formula of order 2 (BDF2) scheme.

This operator is said to be the differentiation operator of order α in the sense of Hadamard-Marchaud.

This paper presents a procedure based on the Backward Differentiation Formulas of order 1 to 5 to obtain efficient time integration of the incompressible Navier Stokes equations.

where the operator d α /dt α means a differentiation operator of order α and the SI unit of C α is [F/sec1−α].

D ν is the fractional differentiation operator of order ν (presented results are valid whatever definition is used: Riemann-Liouville [9, 10] or others [11]).

Fractional calculus refers to integration or differentiation of fractional order, the origin of fractional calculus is as old as calculus.

The generalization of this framework indicates that it is more appropriate to talk of integration and differentiation of arbitrary order.

In Section 2, we recall briefly some notions of the fractional calculus and the theory of the operators for integration and differentiation of fractional order.

These days, a substantial attention to the fractional calculus has been shown, which allows us to consider integration and differentiation of any order.

In current years, a substantial attention to the fractional calculus has been shown, which allows us to consider integration and differentiation of any order.

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