TY - JOUR ID - 9465 TI - Legendre-collocation spectral solver for variable-order fractional functional differential equations JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Hafez, Ramy Mahmoud AU - Youssri, Youssri Hassan AD - Department of Mathematics, Faculty of Education, Matrouh University, Egypt. AD - Department of Mathematics, Faculty of Science, Cairo University, Giza-Egypt Y1 - 2020 PY - 2020 VL - 8 IS - 1 SP - 99 EP - 110 KW - Variable-order fractional functional differential equations KW - Shifted Legendre polynomials KW - Gauss-Legendre nodes KW - Matrix equation DO - 10.22034/cmde.2019.9465 N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_9465.html L1 - https://cmde.tabrizu.ac.ir/article_9465_7bf2db00ba7908179a8ab1d172df790f.pdf ER -