Sentence examples for integration of order from inspiring English sources

respectively, where P is the ( N + 1 ) × ( N + 1 ) operational matrix of fractional integration of order ν.

where L i (0)=1, applying the Riemann-Liouville fractional integration of order ν of Equation 14.

Rapid delivery needs a meticulous integration of order picking, label printing and the generation of delivery orders to outside contractors working for the online operation.

There are several definitions of a fractional integration of order ν>0, and they are not necessarily equivalent to each other (see[34]).

Let α > 0, n = + 1. Assume that u ∈ L 1 ( 0, 1 ) with a fractional integration of order n − α that belongs to A C n [ 0, 1 ].

[14] Let α > 0, n = + 1. Assume that u ∈ L 1 (0, 1) with a fractional integration of order n - α that belongs to AC n [0, 1].

However, the large-scale synthesis and integration of ordered functional nanowires is a challenge, due to their complicated fabrication methodologies, high cost, and difficulties with phase stability in many metastable perovskite compounds.

Again on fractional q-integration of order (alpha>0) to the above inequality with respect to t on ([0,1]) and changing variables, we get begin{aligned} f biggl(frac{a+b}{2} biggr) leqfrac{Gamma_{q} alpha +1)}{2 b-a)^{alpha}} bigl({_{a}}I_{q}^{alpha}f(s) bigr) (b)+ frac{Gamma _{q}(alpha +1)}{2 b-a)^{alpha}} bigl({_{a}}I_{q}^{alpha}f(a+b-s) bigr) (b).

The fractional integration definition of order (nu>0), can be expressed by several formulas and in general they are not equal to each other.

Many real dynamic systems are better characterized using a noninteger-order dynamic model based on fractional calculus or differentiation or integration of noninteger order.

Of particular interest is the integration of first-order and higher-order techniques.