Fractional logistic models in the frame of fractional operators generated by conformable derivatives

被引：111

作者：

Abdeljawad, Thabet ^{[1
]}

Al-Mdallal, Qasem M. ^{[2
]}

Jarad, Fahd ^{[3
]}

机构：

[1] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia

[2] United Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates

[3] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

来源：

CHAOS SOLITONS & FRACTALS | 2019年 / 119卷 / 94-101期

关键词：

Conformable fractional derivatives; Fractional-order differential equation; Logistic equations; Modified logistic model; ORDER;

D O I：

10.1016/j.chaos.2018.12.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study different types of fractional-order logistic models in the frame of Caputo type fractional operators generated by conformable derivatives (Caputo CFDs). We present the existence and uniqueness theorems to solutions of these models and discuss their stability by perturbing the equilibrium points. Finally, we furniture our results by illustrative numerical examples for the studied models. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：94 / 101

页数：8

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