I. this article, we prove the existence, and 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 results., “Solution to Fractional Integro-differential Equation with Unknown Flux on the Dirichlet Boundary”, DNC, vol. 11, no. 4, pp. 723–734, Aug. 2026, doi: 10.5890/DNC.2022.12.010.