Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems

被引：39

作者：

Alquran, Marwan ^{[1
]}

Alsukhour, Maysa ^{[1
]}

Ali, Mohammed ^{[1
]}

Jaradat, Imad ^{[1
]}

机构：

[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan

来源：

NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2021年 / 10卷 / 01期

关键词：

Caputo-fractional autonomous nonlinear systems; Laplace transform; residual power series method; GENERAL-FORM; EQUATIONS;

D O I：

10.1515/nleng-2021-0022

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this work, a new iterative algorithm is presented to solve autonomous n-dimensional fractional nonlinear systems analytically. The suggested scheme is combination of two methods; the Laplace transform and the residual power series. The methodology of this algorithm is presented in details. For the accuracy and effectiveness purposes, two numerical examples are discussed. Finally, the impact of the fractional order acting on these autonomous systems is investigated using graphs and tables.

引用

页码：282 / 292

页数：11

共 29 条

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