Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
type: Item
instance of: scholarly article
title: Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
zbMATH Open document ID: 1234.35300
author: D. Kharzeev
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-03-16T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 33E12
zbMATH DE Number: 6015272
zbMATH Keywords: multi-term time
zbMATH Keywords: space Caputo-Riesz fractional advection
zbMATH Keywords: diffusion equations
zbMATH Keywords: multivariate Mittag-Leffler function
zbMATH Keywords: nonhomogeneous initial-boundary-value problem
zbMATH Keywords: fractional Laplacian operator
zbMATH Keywords: analytical solution
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.12.055
OpenAlex ID: W2060825796
cites work: Solution for a fractional diffusion-wave equation defined in a bounded domain
cites work: Analytical solution for the time-fractional telegraph equation by the method of separating variables
cites work: Boundary value problems for multi-term fractional differential equations
cites work: Analytical modelling of fractional advection-dispersion equation defined in a bounded space domain
cites work: Q4941491
cites work: Q4257767
cites work: Applications of fractional calculus in physics
cites work: Q3421758
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
cites work: An operational method for solving fractional differential equations with the Caputo derivatives
cites work: Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
cites work: Q5699297
cites work: On the fractional signals and systems
cites work: The fundamental solutions for the fractional diffusion-wave equation
cites work: Fractals and fractional calculus in continuum mechanics
cites work: FRACTIONAL DIFFUSIVE WAVES
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: Distributed-order fractional diffusions on bounded domains
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: Q4233638
cites work: Two-dimensional axisymmetric stresses exerted by instantaneous pulses and sources of diffusion in an infinite space in a case of time-fractional diffusion equation
cites work: Q5505922
cites work: Fundamental solutions to three-dimensional diffusion-wave equation and associated diffusive stresses
cites work: Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry
cites work: Solutions of the space-time fractional Cattaneo diffusion equation
cites work: Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
cites work: Nonlinear abstract boundary value problems modelling atmospheric dispersion of pollutants
cites work: Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order
cites work: The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation
cites work: Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation
cites work: Numerical method for solving diffusion-wave phenomena
cites work: A fractional Poisson process in a model of dispersive charge transport in semiconductors
cites work: Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
cites work: Nonlocal Cauchy problem for fractional evolution equations
DOI: 10.1016/J.JMAA.2011.12.055
description: scientific article; zbMATH DE number 6015272