In the paper, we make a detailed study on generalized Crewther Relation (GCR) between Adler function ($D$) and Gross-Llewellyn Smith sum rules coefficient ($C^{\rm GLS}$) by using newly suggested single-scale approach of principle maximum conformality (PMC). The resultant GCR is scheme-independent, whose residual scale dependence due to unknown higher-order terms are highly suppressed. Thus pre...

The aim of the present study is to examine the steady flow of an incompressible conducting viscous fluid in convergent-divergent channels under the effect of an external homogeneous magnetic field. The non-dimensional governing equation for the considered flow field is solved in a power series to examine the instability of the problem using Hermite-Pade ́ approximation technique computed numeri...

A mixed method by combining a Eigen algorithm and improved pade approximations is proposed for reducing the order of the large-scale dynamic systems. The most dominant Eigen value of both original and reduced order systems remain same in this method. The proposed method guarantees stability of the reduced model if the original high-order system is stable and is comparable in quality with the ot...

This paper investigates the fractional order chaotic systems synchronization with input delay. To reduce utilization of communication resources and achieve system synchronization, an adaptive neural network backstepping sliding mode controller is proposed based on event-triggered scheme without Zeno behavior. avoid “explosion complexity” obtain derivatives for virtual control functions continuo...

The objective of this research is to examine the steady incompressible two-dimensional hydromagnetic boundary layer flow nanofluid passing through a stretched sheet in influence viscous and ohmic dissipations. present problem obtained with help an analytical technique called DTM-Pade Approximation. mathematical modeling considered form partial differential equation transformed into suitable sim...

In this paper, a new method is presented to derive a reduced order model for a discrete time systems. This method is based on modified pole clustering technique and pade approximations using bilinear transformations, which are conceptually simple and computer oriented. The denominator polynomial of the reduced order model is obtained by using modified pole clustering technique and numerator coe...

Abstract We calculate the quasinormal modes (QNM) frequencies of a test massless scalar field and an electromagnetic around static black holes in f ( T ) gravity. Focusing on quadratic modifications, which is good approximation for every realistic theory, we first extract spherically symmetric solutions using perturbative method, imposing two ansätze metric functions, suitably quantify deviatio...