The time-fractional radiative transport equation—Continuous-time random walk, diffusion approximation, and Legendre-polynomial expansion

DOI10.1063/1.4973441zbMath1434.82080arXiv1602.05382OpenAlexW3105244494MaRDI QIDQ2963301

Manabu Machida

Publication date: 13 February 2017

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

Full work available at URL: https://arxiv.org/abs/1602.05382

zbMATH Keywords

time-fractional radiative transport equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Continuum limits in quantum field theory (81T27) Transport processes in time-dependent statistical mechanics (82C70) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (5)

Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation ⋮ Fractional radiative transport in the diffusion approximation ⋮ Computational solutions of the tempered fractional wave-diffusion equation ⋮ Radiative transport equation for the Mittag-Leffler path length distribution ⋮ Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates

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