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. (2026). Solution to Fractional Integro-differential Equation with Unknown Flux on the Dirichlet Boundary. Discontinuity, Nonlinearity, and Complexity, 11(4), 723-734. https://doi.org/10.5890/DNC.2022.12.010