Fundamental solutions to time-fractional advection diffusion equation in a case of two space variables

DOI10.1155/2014/705364zbMath1407.35217OpenAlexW2034472116WikidataQ59069181 ScholiaQ59069181MaRDI QIDQ1718982

Yu. Z. Povstenko

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/705364

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (13)

The Dirichlet problem for the time-fractional advection-diffusion equation in a line segment ⋮ Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems ⋮ Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation ⋮ Two-dimensional nonlinear time fractional reaction-diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media ⋮ The Dirichlet problem for the time-fractional advection-diffusion equation in a half-space ⋮ A solution to the problem of time-fractional heat conduction in a multi-layer slab ⋮ Cauchy and source problems for an advection-diffusion equation with Atangana-Baleanu derivative on the real line ⋮ A modified generalized Laguerre-Gauss collocation method for fractional neutral functional-differential equations on the half-line ⋮ Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations ⋮ Analytical solutions of advective-dispersive transport in porous media involving conformable derivative ⋮ Fundamental solutions to advection-diffusion equation with time-fractional Caputo-Fabrizio derivative ⋮ Solutions with wright functions for time fractional convection flow near a heated vertical plate ⋮ Fractional and fractal advection-dispersion model

Cites Work

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• Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method
• Stresses exerted by a source of diffusion in a case of a non-parabolic diffusion equation
• Spectral regularization method for a Cauchy problem of the time fractional advection-dispersion equation
• Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method
• An algorithm for solving the fractional convection-diffusion equation with nonlinear source term
• Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
• The Fokker-Planck equation. Methods of solution and applications.
• Numerical solution of the space fractional Fokker-Planck equation.
• Time fractional advection-dispersion equation
• Finite difference approximations for fractional advection-dispersion flow equations
• A fractional diffusion equation to describe Lévy flights
• Two-dimensional axisymmetric stresses exerted by instantaneous pulses and sources of diffusion in an infinite space in a case of time-fractional diffusion equation
• On using random walks to solve the space-fractional advection-dispersion equations
• Analytical approximate solutions of the fractional convection–diffusion equation with nonlinear source term by He's homotopy perturbation method
• A Fokker–Planck equation of fractional order with respect to time
• Local Fractional Fokker-Planck Equation
• The time fractional diffusion equation and the advection-dispersion equation
• Convection in Porous Media
• Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics
• Fractional kinetic equations: solutions and applications
• Fractional Calculus: Integral and Differential Equations of Fractional Order

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