Generalized Sommerfeld problem for time fractional diffusion equation: analytical and numerical approach

DOI10.1515/JIIP.2009.022zbMath1185.26009MaRDI QIDQ5191060

Anatoly N. Bondarenko, D. S. Ivaschenko

Publication date: 28 July 2009

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

zbMATH Keywords

Monte Carlo methodanomalous diffusionHurst indextime fractional diffusionGruenwald-Letnikov discretization

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Diffusion processes (60J60) Fractional partial differential equations (35R11)

Related Items (4)

Modulating Functions Based Algorithm for the Estimation of the Coefficients and Differentiation Order for a Space-Fractional Advection-Dispersion Equation ⋮ The method of integral transformations in inverse problems of anomalous diffusion ⋮ Inverse problems of anomalous diffusion theory: An artificial neural network approach ⋮ Uniqueness in inverse boundary value problems for fractional diffusion equations

Cites Work

• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• The fundamental solutions for the fractional diffusion-wave equation
• Fractional stable distributions
• Chaos, fractional kinetics, and anomalous transport
• Time fractional diffusion: A discrete random walk approach
• Stochastic solution of space-time fractional diffusion equations
• Random Walks on Lattices. II
• Fractional diffusion and wave equations
• The fractional diffusion equation
• Vector continued fractions using a generalized inverse
• An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
• Fractional kinetic equations: solutions and applications
• The Floating Random Walk and Its Application to Monte Carlo Solutions of Heat Equations
• Discrete and continuous random walk models for space-time fractional diffusion
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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