Carleman estimates for the time-fractional advection-diffusion equations and applications (1704.06011v1)

Published 20 Apr 2017 in math.AP

Abstract: In this article, we prove Carleman estimates for the generalized time-fractional advection-diffusion equations by considering the fractional derivative as perturbation for the first order time-derivative. As a direct application of the Carleman estimates, we show a conditional stability of a lateral Cauchy problem for the time-fractional advection-diffusion equation, and we also investigate the stability of an inverse source problem.

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