Sentence examples for analysis of the fractional from inspiring English sources

In this paper, a general analysis of the fractional order operational transresistance amplifiers (OTRA) based oscillator is presented and validated through eight different circuits which represent two classifications according to the number of OTRAs.

Numerical analysis of the fractional relaxation system is carried out in [12 15].

The aim of this paper is to perform stability and asymptotic analysis of the fractional difference equation (1.1).

In such situations, we often resort to geometric or numerical analysis of the fractional differential equations for information about the solution instead of solving them.

This analysis of the fractional wave, diffusion, and Dirac equations, fits in the general context of establish bridges between fractional calculus and the classical and quantum mechanics [44, 45].

For example, in [3], based on some analysis of the fractional spaces involved, the authors prove that mountain pass theorem still works for a general integrodifferential operator of fractional type.

The aim of this paper is the mathematical derivation, and numerical analysis of the fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics.

As understood from the dynamic analysis of the fractional-order system, it is seen that chaos oscillations are exhibited for a particular selection of parameters.

The third aim is to discuss the stability analysis of the fractional-order system for different order and different values of Rayleigh number R. The last aim is to investigate the synchronization of different fractional-order chaotic systems; the numerical solutions of the master, slave and error systems using Adams-Bashforth-Moulton predictor corrector algorithm are proposed.

First, we performed a voxel-based analysis (VBA) of the fractional anisotropy (FA) images derived from DTI.

In [21], invariant analysis of the time fractional generalized Korteweg-de Vries equation is investigated.