Generalized Adams method for solving fractional delay differential equations

Based on fractional generalized Adams methods, a numerical method is constructed for solving fractional delay differential equations. The convergence of the method is analyzed in detail. The stability of the fractional generalized Adams methods for fractional ordinary differential equations is generalized to a general framework. Under such framework, the linear stability of the method is studied for fractional delay differential equations. Numerical experiments confirm the convergence and the stability of the method. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

This study presents a numerical method for solving fractional delay differential equations based on fractional generalized Adams methods. The convergence and stability of the method are analyzed in detail, with the linear stability of the method studied for fractional delay differential equations. Numerical experiments confirm the convergence and stability of the method, showcasing its effectiveness in solving such equations.