New numerical approximation for Chua attractor with fractional and fractal-fractional operators

被引：60

作者：

Atangana, Abdon ^{[1
,3
]}

Araz, Seda Igret ^{[2
]}

机构：

[1] Univ Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, Bloemfontein, South Africa

[2] Siirt Univ, Dept Math Educ, Siirt, Turkey

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2020年 / 59卷 / 05期

关键词：

New numerical scheme; Newton polynomial; Error analysis; Chaos; Fractional calculus; Fractal calculus; DYNAMICS; SYSTEMS; MODELS;

D O I：

10.1016/j.aej.2020.01.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, we present new numerical scheme for modified Chua attractor model with fractional operators. However we give numerical solution of the considered model with fractal-fractional operators. Also, we offer error analysis for a general Cauchy problem with fractional and fractal-fractional operators. For numerical solution of the considered equation, we use new numerical scheme which is established with an efficient polynomial known as Newton interpolation polynomial. The results are discussed with some examples and simulations. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.

引用

页码：3275 / 3296

页数：22

共 28 条

[1] A new numerical scheme based on Newton polynomial with application to Fractional nonlinear differential equations [J].