University of Tabriz Computational Methods for Differential Equations 2345-3982 6 4 2018 10 01 A numerical approach for variable-order fractional unified chaotic systems with time-delay 396 410 7678 EN Sholeh Yaghoobi Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran Behrouz Parsa Moghaddam Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran Karim Ivaz Tabriz university Journal Article 2017 09 13 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. https://cmde.tabrizu.ac.ir/article_7678_56a30376a636faf293a45a8899fd1e33.pdf