Sentence examples for a regular fractional from inspiring English sources

We first consider a regular fractional Sturm Liouville problem of two kinds RFSLP-I and RFSLP-II of order ν∈ 0,2).

We should note that Klimek and Agrawal [20] defined a fractional Sturm-Liouville operator, introduced a regular fractional Sturm-Liouville problem and investigated the properties of eigenfunctions and eigenvalues of the operator.

In [33], Klimek et al. apply the methods of fractional variational analysis and prove the existence of a countable set of orthogonal solutions and corresponding eigenvalues for a regular fractional Sturm-Liouville problem.

In this paper, we consider experimental situations in which a regular fractional factorial design is to be used to study the effects of m two-level factors using n=2m−k experimental units arranged in 2p blocks of size 2m−k−p.

This paper presents a unified numerical method based on the double coincidence distribution for identifying clear or strongly clear main effects or two-factor interactions in a blocked regular fractional factorial design.

In this manuscript we present a regular dissipative fractional operator associated with a fractional boundary value problem.

Introducing a direct sum Hilbert space, Baleanu and Uǧurlu [19] constructed a regular dissipative fractional operator associated with a fractional boundary value problem.

In this paper our main aim is to construct a regular dissipative fractional operator associated with a fractional boundary value problem.

With reference to regular fractional factorial split-plot designs, we consider a detailed wordlength pattern taking due cognizance of the distinction between the whole-plot and sub-plot factors.

We provide a new necessary and sufficient check for testing the isomorphism of two 2-level regular fractional factorial designs.

Recent work has focussed on the selection of regular fractional factorial designs in this setting.