A robust scheme for reduction of higher fractional-order systems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-08 DOI:10.1007/s10665-023-10310-6

Iqbal M. Batiha, Nadia Allouch, Iqbal H. Jebril, Shaher Momani

引用次数: 0

Abstract

The objective of this work is to present a numerical solution to a system of higher fractional-order differential equations with initial value problems. In order to achieve this objective, we develop a novel theoretical result aimed to reduce these higher fractional-order systems to \(\alpha \)-fractional systems, where \(0<\alpha \le 1\), and then apply a recent numerical approach called modified fractional Euler method, which is regarded a numerical modification of the fractional Euler Method (FEM). Finally, we will give numerical applications to illustrate our results using MATLAB procedures.

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减少高分数阶系统的稳健方案

这项工作的目的是提出一个带初值问题的高分数阶微分方程系统的数值解。为了实现这一目标，我们提出了一个新颖的理论结果，旨在将这些高分数阶系统简化为 \(\alpha \)-分数系统，其中 \(0<\alpha \le 1\)，然后应用一种称为修正分数欧拉法的最新数值方法，该方法被视为分数欧拉法（FEM）的数值修正。最后，我们将利用 MATLAB 程序给出数值应用来说明我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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