Sentence examples for fractional decomposition from inspiring English sources

The decomposition curves (fractional decomposition vs time) were found to be of complex shape showing an initial process of decomposition and a very short induction period followed by the acceleratory and decay periods.

The authors in [8] obtained the approximate analytical solutions for two different types of nonlinear time-fractional systems of partial differential equations using the fractional natural decomposition method.

In this article, we focus our study on finding approximate analytical solutions to systems of nonlinear PDEs using the fractional natural decomposition method (FNDM).

Additionally, we can define with this model a confidence interval T H [k]. The decomposition of fractional Gaussian noise yields an energy distribution for a given IMF over several noise realizations.

In particular, relations of the operators with the Mellin transforms, hypergeometric operators (or Saigo fractional integral operators), their decompositions and acting properties in the McBride spaces (F_{p mu}) (see [25]) were found.

Khan et al. [18] applied the Laplace transformation coupled with the decomposition method in fractional order seepage flow and telegraph equations.

Among the most popular methods are the empirical mode decomposition (EMD), the fractional Fourier transform and the reconstruction of time-frequency ridges.

In particular we provide an explicit control of the domain of such a fractional operator and of its decomposition into regular and singular parts.

In this article, secured image outsourcing and ownership verification service in a cloud environment on the basis of singular value decomposition (SVD) and Fractional Fourier Transform (FrFT) has been proposed.

A comparison between DTM and the Adomian decomposition method for solving fractional differential equations is given in [9].

In Section 3, we present the basic ideal of the homotopy decomposition method for solving fractional partial differential equations.