%0 Journal Article %T A numerical approach for variable-order fractional unified chaotic systems with time-delay %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Yaghoobi, Sholeh %A Parsa Moghaddam, Behrouz %A Ivaz, Karim %D 2018 %\ 10/01/2018 %V 6 %N 4 %P 396-410 %! A numerical approach for variable-order fractional unified chaotic systems with time-delay %K Variable-order fractional calculus %K Finite element scheme %K Unified chaotic systems %R %X This paper proposes a new computational scheme for approximating variable-order fractional integral operators by means of finite element scheme. This strategy is extended to approximate the solution of a class of variable-order fractional nonlinear systems with time-delay. Numerical simulations are analyzed in the perspective of the mean absolute error and experimental convergence order. To illustrate the effectiveness of the proposed scheme, dynamical behaviors of the variable-order fractional unified chaotic systems with time-delay are investigated in the time domain. %U https://cmde.tabrizu.ac.ir/article_7678_56a30376a636faf293a45a8899fd1e33.pdf