This paper deals with an inverse source problem for the $1$D time-fractional diffusion equation by using boundary measurement. The conditional stability in identification of the unknown source term is proved on the basis of the Fourier transform and several properties of the Mittag-Leffler functions.
One inverse source problem generated by the Dunkl operator
Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equation
An inverse source problem for the heat equation and the enclosure method
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