The Dirichlet problem for the time-fractional advection-diffusion equation in a line segment

DOI10.1186/s13661-016-0597-4zbMath1386.35454OpenAlexW2342772136WikidataQ59472578 ScholiaQ59472578MaRDI QIDQ296226

Joanna Klekot, Yu. Z. Povstenko

Publication date: 15 June 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0597-4

zbMATH Keywords

Mittag-Leffler functionfractional calculusnon-Fickian diffusionCaputo fractional derivativefractional advection-diffusion equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional partial differential equations (35R11)

Related Items

The analytical interface coupling of arbitrary-order fractional nonlinear hyperbolic scalar conservation laws, Two-dimensional nonlinear time fractional reaction-diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media, Unnamed Item, The error analysis of Crank-Nicolson-type difference scheme for fractional subdiffusion equation with spatially variable coefficient, Fundamental solutions to advection-diffusion equation with time-fractional Caputo-Fabrizio derivative, Fractional advection–diffusion equation with memory and Robin-type boundary condition, Analysis of advective–diffusive transport phenomena modelled via non-singular Mittag-Leffler kernel, A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications, The multiple composition of the left and right fractional Riemann-Liouville integrals - analytical and numerical calculations

Uses Software

• Matlab
• Mittag-Leffler

Cites Work

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