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Using the generalized Adams-Bashforth-Moulton method for obtaining the numerical solution of some variable-order fractional dynamical models
Journal of Nonlinear, Complex and Data Science ( IF 1.5 ) Pub Date : 2021-02-01 , DOI: 10.1515/ijnsns-2019-0307
Mohamed M. Khader 1, 2
Affiliation  

This paper is devoted to introduce a numerical treatment using the generalized Adams-Bashforth-Moulton method for some of the variable-order fractional modeling dynamics problems, such as Riccati and Logistic differential equations. The fractional derivative is described in Caputo variable-order fractional sense. The obtained numerical results of the proposed models show the simplicity and efficiency of the proposed method. Moreover, the convergence order of the method is also estimated numerically.

中文翻译:

使用广义Adams-Bashforth-Moulton方法获得一些变阶分数阶动力学模型的数值解

本文专门介绍了使用广义Adams-Bashforth-Moulton方法进行数值处理的一些可变阶分数阶建模动力学问题,例如Riccati和Logistic微分方程。分数导数以Caputo可变阶分数意义进行描述。所提出模型的数值结果表明所提出方法的简单性和有效性。而且,该方法的收敛阶数也被数值估计。
更新日期:2021-03-16
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