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math.AP2016★ 2 cited
Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates
Atsushi Kawamoto, Manabu Machida
We consider a fractional radiative transport equation, where the time derivative is of half order in the Caputo sense. By establishing Carleman estimates, we prove the global Lipsc…
math-ph2016★ 11 cited
The time-fractional radiative transport equation -- Continuous-time random walk, diffusion approximation, and Legendre-polynomial expansion
Manabu Machida
We consider the radiative transport equation in which the time derivative is replaced by the Caputo derivative. Such fractional-order derivatives are related to anomalous transport…