A perturbed collage theorem and its application to inverse interval integral problems Berenguer Maldonado, María Isabel Garralda Guillén, Ana Isabel Gámez Domingo, Domingo Ruiz Galán, Manuel This paper deals with inverse problems subject to imprecise or vague information of some involved data by means of interval-valued functions. To provide interval solutions to the inverse problems we have adopted a perturbed collage-based approach and we have also introduced a numerical procedure by means of the use of interval bases in a sense. To illustrate the results, and as an application, we have studied the Volterra interval-valued integral equation, and provide some computational examples. 2023-12-18T10:26:24Z 2023-12-18T10:26:24Z 2020-06-06 journal article M. Arana-Jiménez, M.I. Berenguer, D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán, A perturbed collage theorem and its application to inverse interval integral problems, Communications in Nonlinear Science and Numerical Simulation 90 (2020), 105365, 10 pages. https://hdl.handle.net/10481/86288 https://doi.org/10.1016/j.cnsns.2020.105365 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Elsevier