Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates

Abstract

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 Lipschitz stability in determining the coefficients of the one-dimensional time-fractional radiative transport equation of half-order.

Cited by in corpus (2)

• Inverse Problems of Determining Sources of the Fractional Partial Differential Equations
• Inverse Problems of Determining Coefficients of the Fractional Partial Differential Equations