Relaxation and diffusion models with non-singular kernels
type: Item
instance of: scholarly article
title: Relaxation and diffusion models with non-singular kernels
zbMATH Open document ID: 1400.82141
author: Xiaoxiao Hao
author: Yong Zhang
author: D. Baleanu
author: HongGuang Sun
published in: Physica A
publication date: 2018-11-13T00:00:00Z
Mathematics Subject Classification ID: 82C05
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6978813
zbMATH Keywords: anomalous relaxation and diffusion
zbMATH Keywords: non-singular kernel
zbMATH Keywords: stretched exponential function kernel
zbMATH Keywords: memory characterization
zbMATH Keywords: mean squared displacement
MaRDI profile type: Publication
full work available at URL: j.physa.2016.10.066
OpenAlex ID: W2547787471
cites work: Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
cites work: Fractional calculus and its applications
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: An inverse problem to estimate an unknown order of a Riemann-Liouville fractional derivative for a fractional Stokes' first problem for a heated generalized second grade fluid
cites work: Almost sure and moment stability properties of fractional order Black-Scholes model
cites work: Discrete fractional diffusion equation
cites work: Fractional Kinetics in Solids
cites work: Analysis of the Keller-Segel model with a fractional derivative without singular kernel
cites work: On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
cites work: Modeling diffusive transport with a fractional derivative without singular kernel
cites work: Fractional Hamiltonian formalism within Caputo's derivative
cites work: Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
cites work: Q5190149
cites work: Application of numerical inverse Laplace transform algorithms in fractional calculus
cites work: On mean square displacement behaviors of anomalous diffusions with variable and random orders
cites work: Anomalous diffusion approach to non-exponential relaxation in complex physical systems
cites work: Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel
cites work: From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
cites work: Analysis of fractional differential equations
cites work: Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium
cites work: A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
DOI: 10.1016/J.PHYSA.2016.10.066
Recommended article: Non‐parametric Kernel Estimation of the Coefficient of a Diffusion
Recommended article: Q4926619
Recommended article: Mathematical modeling of some singularly perturbed processes of diffusion with relaxation
Recommended article: Relaxation Schemes for Nonlinear Kinetic Equations
Recommended article: Nonsmooth kernels in a phase relaxation problem with memory
Recommended article: Nonlocal Diffusion Equations with Integrable Kernels
Recommended article: Modeling diffusive transport with a fractional derivative without singular kernel
Recommended article: Kernel functions‐based approach for distributed order diffusion equations
Recommended article: Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels
description: scientific article; zbMATH DE number 6978813