A computational algorithm for the numerical solution of fractional order delay differential equations

作者：

Highlights：

• Haar wavelet is developed for the solution of delay fractional order differential equations (FODEs).

• The developed technique is applied to both nonlinear and linear delay FODEs.

• The derived nonlinear system is solved by Broyden’s technique while the linear system is solved by Gauss elimination technique.

• Fractional derivative is described in the Caputo sense throughout the paper.

摘要

•Haar wavelet is developed for the solution of delay fractional order differential equations (FODEs).•The developed technique is applied to both nonlinear and linear delay FODEs.•The derived nonlinear system is solved by Broyden’s technique while the linear system is solved by Gauss elimination technique.•Fractional derivative is described in the Caputo sense throughout the paper.

论文关键词：Collocation technique,Haar wavelet method,FODEs,Broyden’s technique

论文评审过程：Received 23 March 2020, Accepted 27 November 2020, Available online 24 February 2021, Version of Record 24 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125863