Sentence examples for operators of order from inspiring English sources

Some authors studied the monotonicity analysis of delta- or nabla-type fractional difference operators of order

Optimal boundary closures are derived for first derivative, finite difference operators of order 2, 4, 6 and 8.

In this paper we deal with the topological asymptotic expansion of a class of shape functionals associated with elliptic differential operators of order 2m, m⩾1.

This note is motivated by some papers treating the fractional hybrid differential equations involving Riemann-Liouville differential operators of order (0 < alpha< 1 ).

From the above works, we develop the theory of boundary fractional hybrid differential equations involving Caputo differential operators of order (0

We are interested in setting the operator (T_{n}[bar{M}]) as a composition of suitable operators of order (h le n).

A detailed analysis is presented of all pseudo-differential operators of orders up to 2 encountered in classical potential theory in two dimensions.

By using non-equispaced grid points near boundaries, we derive boundary optimized first derivative finite difference operators, of orders up to twelve.

A multiinput, multioutput fractional system is described by the differential equation system involving fractional derivatives of the system input and of the system output : (2.1). in which and. and denote fractional differentiation operators of orders and, respectively.

For example, for exponential operators of orders two and three, we can write the Gauss-Weierstrass and the Airy integrals [2, 7] e λ 2 s 2 = 1 π ∫ − ∞ ∞ e − ξ 2 + 2 λ s ξ d ξ, (1.3).

Let us consider the partial differential operator of order.