article, In this, 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 Rothe time discretization. Numerical experiments are given to illustrate the results. “Solution to Fractional Integro-Differential Equation With Unknown Flux on the Dirichlet Boundary”. Discontinuity, Nonlinearity, and Complexity 11, no. 4 (August 17, 2026): 723–734. Accessed August 17, 2026. https://lhscientificpublishing.com/index.php/DNC/article/view/1689.