Mathematical economics, however, conventionally makes use of calculus and matrix algebra in economic analysis in order to make powerful claims that would be more difficult without such mathematical tools.
One criterion for finding that point, which makes use of the calculus of variations, is called the principle of virtual work.
Local analysis makes use of differential calculus, and stability analysis of equilibrium points.
In this paper, the smoking model is analyzed with the Caputo-Fabrizio derivative and makes use of the utilities of fractional calculus.
The verification of confluence makes use of a verified adaptation of Nipkow's higher-order critical pairs lemma to the forms of rewrite rules required for the statement of the λσβ0-calculus.
When Isaac Newton and Gottfried Wilhelm Leibniz first formulated differential calculus they effectively made use of the concept of an infinitesimal, which they referred to as an infinitely small number.
In recent years, there has been intensive research on the approximation of functions by positive linear operators introduced by making use of q-calculus.
The ∂-operator on an almost complex abstract Wiener space (B, H, μ, J) is defined by making use of the Malliavin calculus.
We recapture and make use of the convenient calculus on Fréchet spaces, as developed by Kriegl and Michor (The Convenient Setting for Global Analysis, Surveys and Monographs, Vol. 53, Amer. Math. Soc., Providence, RI, 1997).
Dattolli and Srivastava [16] proposed several generating functions involving harmonic numbers by making use of an interesting approach based on the umbral calculus.
