Moments for tempered fractional advection-diffusion equations

DOI10.1007/s10955-010-9965-0zbMath1301.82044OpenAlexW2012860772MaRDI QIDQ977200

Yong Zhang

Publication date: 21 June 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-010-9965-0

zbMATH Keywords

anomalous diffusionspatial momentstempered Lévy motion

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (13)

Fundamental solution of the tempered fractional diffusion equation ⋮ On fractional tempered stable processes and their governing differential equations ⋮ Efficient difference schemes for the Caputo-tempered fractional diffusion equations based on polynomial interpolation ⋮ A numerical algorithm for the Caputo tempered fractional advection-diffusion equation ⋮ Lie symmetry analysis and exact solution of certain fractional ordinary differential equations ⋮ Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws ⋮ High-order spectral collocation method using tempered fractional Sturm-Liouville eigenproblems ⋮ Boundary value problem with tempered fractional derivatives and oscillating term ⋮ Distributed order Hausdorff derivative diffusion model to characterize non-Fickian diffusion in porous media ⋮ A computationally efficient method for tempered fractional differential equations with application ⋮ A Lagrange-quadratic spline optimal collocation method for the time tempered fractional diffusion equation ⋮ Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems ⋮ High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: construction and application (I)

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