article, I. this; existence, we prove the; results., uniqueness and some stability results for fractional integro- differential equation of reconstruction of the unknown time- dependent boundary function from an additional integral measurement by the use of R. time discretization. N. experiments are given to illustrate the. Solution to Fractional Integro-Differential Equation With Unknown Flux on the Dirichlet Boundary. DNC 2026, 11 (4), 723-734. https://doi.org/10.5890/DNC.2022.12.010.