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

Thabet Abdeljawad; Qasem M. Al-Mdallal; Fahd Jarad

doi:10.1016/j.chaos.2018.12.015

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

Thabet Abdeljawad, Qasem M. Al-Mdallal, Fahd Jarad

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

127 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	94-101
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	119
DOIs	https://doi.org/10.1016/j.chaos.2018.12.015
Publication status	Published - Feb 2019

Keywords

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

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2018.12.015

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title = "Fractional logistic models in the frame of fractional operators generated by conformable derivatives",

abstract = "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.",

keywords = "Conformable fractional derivatives, Fractional-order differential equation, Logistic equations, Modified logistic model",

author = "Thabet Abdeljawad and Al-Mdallal, {Qasem M.} and Fahd Jarad",

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AU - Abdeljawad, Thabet

AU - Al-Mdallal, Qasem M.

AU - Jarad, Fahd

PY - 2019/2

Y1 - 2019/2

N2 - 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.

AB - 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.

KW - Conformable fractional derivatives

KW - Fractional-order differential equation

KW - Logistic equations

KW - Modified logistic model

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

ER -

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

Abstract

Keywords

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