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

作者：Moghaddam B Parsa; Yaghoobi Sh; Tenreiro Machado J A

来源：Journal of Computational and Nonlinear Dynamics, 2016, 11(6): 061001.

DOI：10.1115/1.4032574

• variable-order fractional calculus
• variable-order fractional delay differential equations
• Adams method
• new iterative method
• predictor-corrector method

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.

• 出版日期2016-11