Comparative analysis of the fractional order Cahn-Allen equation
Partial Differential Equations in Applied Mathematics, 2023 This current work presents a comparative study of the fractional-order Cahn-Allen (CA) equation, where the non-integer derivative is taken in the Caputo sense.The Cahn-Allen equation is an equation that assists in the comprehension of phase transitions ...
Ibrar Khan +4 more
doaj +1 more source
Rank-based estimation for all-pass time series models
, 2007 An autoregressive-moving average model in which all roots of the autoregressive polynomial are reciprocals of roots of the moving average polynomial and vice versa is called an all-pass time series model.
Andrews, Beth +2 more
core +1 more source
A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations
, 2007 A class of Laplace transforms is examined to show that particular cases of this class are associated with production-destruction and reaction-diffusion problems in physics, study of differences of independently distributed random variables and the ...
A. M. Mathai +23 more
core +1 more source
On the multiplicity of eigenvalues of conformally covariant operators [PDF]
, 2013 Let $(M,g)$ be a compact Riemannian manifold and $P_g$ an elliptic, formally self-adjoint, conformally covariant operator of order $m$ acting on smooth sections of a bundle over $M$.
Canzani, Yaiza
core +2 more sources
Stretched-exponential decay functions from a self-consistent model of dielectric relaxation [PDF]
, 2007 There are many materials whose dielectric properties are described by a stretched exponential, the so-called Kohlrausch-Williams-Watts (KWW) relaxation function.
A.V. Milovanov +43 more
core +2 more sources
Pathway Model, Superstatistics, Tsallis Statistics, and a Generalized Measure of Entropy
, 2006 The pathway model of Mathai (2005) is shown to be inferable from the maximization of a certain generalized entropy measure. This entropy is a variant of the generalized entropy of order 'alpha', considered in Mathai and Rathie (1975), and it is also ...
A.M. Mathai +19 more
core +2 more sources
A multidomain spectral method for solving elliptic equations [PDF]
, 2002 We present a new solver for coupled nonlinear elliptic partial differential equations (PDEs). The solver is based on pseudo-spectral collocation with domain decomposition and can handle one- to three-dimensional problems.
Adams +32 more
core +3 more sources
A three‐phase three‐level converter with shared flying capacitors
IET Power Electronics, EarlyView., 2023 Three‐phase multilevel converters use a high number of components which increases their size. As specific weight reduction is a work of interest for embedded system applications, this paper presents a topology aiming to optimize volume and mass for a three‐level three‐phase inverter. The number of passive and active components is reduced thanks to the ‘
Maxime Pain +2 more
wiley +1 more source
On solution of fractional partial differential equation by the weighted fractional operator
Alexandria Engineering Journal, 2020 The motivation of this paper is to construct the solution of fractional partial differential equations (FPDEs) by the combination of Laplace transform homotopy analysis method (LHAM) and the Laplace transform residual power series method (LRPSM) with ...
Mine Aylin Bayrak +2 more
doaj +1 more source
A New Approach Using Integral Transform to Solve Cancer Models
Fractal and Fractional, 2022 The objective of this work is to investigate analytical solutions of some models of cancer tumors using the Laplace residual power series method (LRPSM).
Rania Saadeh, Ahmad Qazza, Kawther Amawi
doaj +1 more source