IDENTIFICATION OF POINTS SOURCES VIA TIME FRACTIONAL DIFFUSION EQUATION

Abstract

This article investigates the source identication in
the fractional diusion equations, by performing a single measurement
of the Cauchy data on the accessible boundary. The main
results of this work consist in giving an identiability result and
establishing a local Lipschitz stability result. To solve the inverse
problem of identifying fractional sources from such observations,
a non-iterative algebraical method based on the Reciprocity Gap
functional is proposed.