Fractional discretization: The African's tortoise walk

被引：102

作者：

Atangana, Abdon ^{[1
,2
]}

机构：

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

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

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 130卷 / 130期

关键词：

Fractional discretization; Classical differentiation; Fractional differentiation; Fractional integration;

D O I：

10.1016/j.chaos.2019.109399

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We proposed a new way to discretizing a differential or integral equation using a fractional step. The new way has improved the stability and accuracy of numerical methods. We presented some examples with classical and fractional differential and integral equations. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：24

共 9 条

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Atangana, Abdon
Araz, Seda Igret
[J]. CHAOS SOLITONS & FRACTALS, 2019, 127 : 257 - 271
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Atangana, Abdon
Araz, Seda Igret
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (04)
[3] Capturing complexities with composite operator and differential operators with non-singular kernel
Atangana, Abdon
Mekkaoui, Toufik
[J]. CHAOS, 2019, 29 (02)
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Toufik, Mekkaoui
Atangana, Abdon
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (10):
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