University of Tabriz Computational Methods for Differential Equations 2345-3982 8 1 2020 01 01 Legendre-collocation spectral solver for variable-order fractional functional differential equations 99 110 9465 10.22034/cmde.2019.9465 EN Ramy Mahmoud Hafez Department of Mathematics, Faculty of Education, Matrouh University, Egypt. Youssri Hassan Youssri Department of Mathematics, Faculty of Science, Cairo University, Giza-Egypt Journal Article 2018 05 24 A numerical method for the variable-order fractional functional differential equations (VO-FFDEs) has been developed. This method is based on approximation with shifted Legendre polynomials. The properties of the latter were stated, first. These properties, together with the shifted Gauss-Legendre nodes were then utilized to reduce the VO-FFDEs into a solution of matrix equation. Sequentially, the error estimation of the proposed method was investigated. The validity and efficiency of our method were examined and verified via numerical examples. https://cmde.tabrizu.ac.ir/article_9465_7bf2db00ba7908179a8ab1d172df790f.pdf