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385218

On a discretization process of fractional-order Logistic differential equation

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Last updated: 31 Dec 2024

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Abstract

In this work we introduce a discretization process to discretize fractional-order differential
equations. First of all, we consider the fractional-order Logistic differential equation then, we
consider the corresponding fractional-order Logistic differential equation with piecewise constant
arguments and we apply the proposed discretization on it. The stability of the fixed points of the
resultant dynamical system and the Lyapunov exponent are investigated. Finally, we study some
dynamic behavior of the resultant systems such as bifurcation and chaos.

Keywords

Logistic differential equation, Piecewise constant arguments, fractional-order differential equations, Fixed Points, Lyapunov exponent, Bifurcation

Authors

First Name

Z.F.

Last Name

El Raheem

MiddleName

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Affiliation

Faculty of Education, Alexandria University, Alexandria, Egypt

Email

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City

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Orcid

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First Name

S.M.

Last Name

Salman

MiddleName

-

Affiliation

Faculty of Education, Alexandria University, Alexandria, Egypt

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City

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Orcid

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Volume

22

Article Issue

3

Related Issue

50857

Issue Date

2014-10-01

Receive Date

2013-07-12

Publish Date

2014-10-01

Page Start

407

Page End

412

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 22_Issue 3_Pages 407-412.pdf

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Link

https://joems.journals.ekb.eg/article_385218.html

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https://joems.journals.ekb.eg/service?article_code=385218

Order

385,218

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On a discretization process of fractional-order Logistic differential equation

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Type

Article

Created At

21 Dec 2024