Sentence examples for fractional in from inspiring English sources

By 1921 the value of the British shilling had become merely token, for the coin's silver content had become fractional; in 1947 it became wholly cupronickel (copper-nickel alloy).

Yesterday at Deauville, the gold silks of the Sheikh's elite squad claimed two of the top prizes as the French seaside season draws to a close, courtesy of Maxime Guyon on Fractional in the Prix Quincey and Mickael Barzalona on Masterstroke in the Grand Prix.

As a result the governing differential equation is fractional in character.

For the term of fractional in (1.1), the infinite quadrature rule must be truncated to a finite sum.

(2.6) We used these theorems to approximate the arising integral in the formulation of the term fractional in (1.1).

The techniques for the numerical schemes and related numerical analysis can be applied to solve variable-order fractional (in space and/or in time) partial differential equations.

We realize in this work that evolution equations formulated in the form of fractional-in-space reaction-diffusion systems can result in some amazing examples of pattern formation.

We considered two important boundary conditions to explore the variability in 3D patterns for the fractional-in-space reaction-diffusion system.

Figure 3 Numerical results in 2D for fractional-in-space reaction-diffusion system ( 2.7 ) with kinetics ( 4.1 ) showing the distribution of the species at some instances of α.

The solution of fractional-in-space diffusion (3.8) is given by (mathbf{u}(t)=exp(bar{delta }mathbf{A}^{alpha}t)mathbf{u}(0)).

In order to give a better illustration of the theoretical results and some biological wave phenomena of the fractional-in-space system describing spatial predator-prey interactions, we present in this subsection some numerical results in two space dimensions (2D).