Amin, RohulShah, KamalAhmad, HijazGanie, Abdul HamidAbdel-Aty, Abdel-HaleemBotmart, Thongchai2022-09-292022-09-292022https://hdl.handle.net/11467/5352https://doi.org/10.3934/math.2022301In this paper, we developed a computational Haar collocation scheme for the solution of fractional linear integro-di erential equations of variable order. Fractional derivatives of variable order is described in the Caputo sense. The given problem is transformed into a system of algebraic equations using the proposed Haar technique. The results are obtained by solving this system with the Gauss elimination algorithm. Some examples are given to demonstrate the convergence of Haar collocation technique. For di erent collocation points, maximum absolute and mean square root errors are computed. The results demonstrate that the Haar approach is e cient for solving these equations.eninfo:eu-repo/semantics/openAccessvariable-order fractional calculusfixed-point theoryGauss elimination methodHaar waveletnumerical approximationArticle7454315443Q1WOS:000744993900027N/A2-s2.0-8512283626210.3934/math.2022301