Moghaddam, B. ParsaYaghoobi, Sh.Tenreiro Machado, J. A.2017-01-252016http://hdl.handle.net/10400.22/9408This article presents a numerical method based on the Adams–Bashforth–Moulton scheme to solve variable-order fractional delay differential equations (VFDDEs). In these equations, the variable-order (VO) fractional derivatives are described in the Caputo sense. The existence and uniqueness of the solutions are proved under Lipschitz condition. Numerical examples are presented showing the applicability and efficiency of the novel method.engVariable-order fractional calculusVariable-order fractional delay differential equationsAdams methodNew iterative methodPredictor–corrector methodAn Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equationsjournal article10.1115/1.4032574