An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations-Reference-Cited by-同舟云学术

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

Published:2016-06-20 Issue:6 Volume:11 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Parsa Moghaddam B.¹,Yaghoobi Sh.¹,Tenreiro Machado J. A.²

Affiliation:

1. Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan 1616, Iran e-mail:

2. Department of Electrical Engineering, Institute of Engineering, Rua Dr. Antonio Bernardino de Almeida, 431, Porto 4249-015, Portugal e-mail:

Abstract

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.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4032574/6109093/cnd_011_06_061001.pdf

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