An Extended Predictor-Corrector Algorithm for Variable-Order Fractional Delay Differential Equations

摘要

This 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.