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

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 sol...

Full description

Bibliographic Details
Main Author: Moghaddam, B. Parsa (author)
Other Authors: Yaghoobi, Sh. (author), Tenreiro Machado, J. A. (author)
Format: article
Language:eng
Published: 2016
Subjects:
Variable-order fractional calculus
Variable-order fractional delay differential equations
Adams method
New iterative method
Predictor–corrector method
Online Access:http://hdl.handle.net/10400.22/9408
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/9408
Description
Summary: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.

Similar Items