Control of chaos in incommensurate fractional order discrete system

Iqbal M. Batiha; Noureddine Djenina; Adel Ouannas; Taki Eddine Oussaeif; Leila Ben Aoua; Shaher Momani

doi:10.1109/ICFDA58234.2023.10153180

Control of chaos in incommensurate fractional order discrete system

Iqbal M. Batiha
, Noureddine Djenina
, Adel Ouannas
, Taki Eddine Oussaeif
, Leila Ben Aoua
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
Ajman University
University of Oum El Bouaghi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

13 Scopus citations

Abstract

The mathematical study of the growth of a cancer tumor gives us great progress in knowing the behavior of the cancer tumor as well as taking appropriate therapeutic measures. In this article, we endeavor to investigate a mathematical model of a cancer tumor and study its stabilization. In particular, we first discritize the continuous model connected with the dynamics of cancer tumor to get the discrete model. Then we perform several numerical simulations that will show that the proposed discrete model can behave chaotically. As a result, we study the unique fixed point stability that has a physical meaning, and finally we controlled the proposed system to stabilized its dynamics at such a point.

Original language	English
Title of host publication	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9798350321685
DOIs	https://doi.org/10.1109/ICFDA58234.2023.10153180
State	Published - 2023
Event	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 - Ajman, United Arab Emirates Duration: 14 Mar 2023 → 16 Mar 2023

Publication series

Name	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

Conference

Conference	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Country/Territory	United Arab Emirates
City	Ajman
Period	14/03/23 → 16/03/23

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Cancer tumor model
chaotic behaviour
discrete fractional calculus
stability

Access to Document

10.1109/ICFDA58234.2023.10153180

Cite this

Batiha, I. M., Djenina, N., Ouannas, A., Oussaeif, T. E., Aoua, L. B., & Momani, S. (2023). Control of chaos in incommensurate fractional order discrete system. In 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICFDA58234.2023.10153180

Batiha, Iqbal M. ; Djenina, Noureddine ; Ouannas, Adel et al. / Control of chaos in incommensurate fractional order discrete system. 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023).

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title = "Control of chaos in incommensurate fractional order discrete system",

abstract = "The mathematical study of the growth of a cancer tumor gives us great progress in knowing the behavior of the cancer tumor as well as taking appropriate therapeutic measures. In this article, we endeavor to investigate a mathematical model of a cancer tumor and study its stabilization. In particular, we first discritize the continuous model connected with the dynamics of cancer tumor to get the discrete model. Then we perform several numerical simulations that will show that the proposed discrete model can behave chaotically. As a result, we study the unique fixed point stability that has a physical meaning, and finally we controlled the proposed system to stabilized its dynamics at such a point.",

keywords = "Cancer tumor model, chaotic behaviour, discrete fractional calculus, stability",

author = "Batiha, \{Iqbal M.\} and Noureddine Djenina and Adel Ouannas and Oussaeif, \{Taki Eddine\} and Aoua, \{Leila Ben\} and Shaher Momani",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 ; Conference date: 14-03-2023 Through 16-03-2023",

year = "2023",

doi = "10.1109/ICFDA58234.2023.10153180",

language = "English",

series = "2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023",

address = "United States",

}

Batiha, IM, Djenina, N, Ouannas, A, Oussaeif, TE, Aoua, LB & Momani, S 2023, Control of chaos in incommensurate fractional order discrete system. in 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023, Institute of Electrical and Electronics Engineers Inc., 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023, Ajman, United Arab Emirates, 14/03/23. https://doi.org/10.1109/ICFDA58234.2023.10153180

Control of chaos in incommensurate fractional order discrete system. / Batiha, Iqbal M.; Djenina, Noureddine; Ouannas, Adel et al.
2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Control of chaos in incommensurate fractional order discrete system

AU - Batiha, Iqbal M.

AU - Djenina, Noureddine

AU - Ouannas, Adel

AU - Oussaeif, Taki Eddine

AU - Aoua, Leila Ben

AU - Momani, Shaher

PY - 2023

Y1 - 2023

N2 - The mathematical study of the growth of a cancer tumor gives us great progress in knowing the behavior of the cancer tumor as well as taking appropriate therapeutic measures. In this article, we endeavor to investigate a mathematical model of a cancer tumor and study its stabilization. In particular, we first discritize the continuous model connected with the dynamics of cancer tumor to get the discrete model. Then we perform several numerical simulations that will show that the proposed discrete model can behave chaotically. As a result, we study the unique fixed point stability that has a physical meaning, and finally we controlled the proposed system to stabilized its dynamics at such a point.

AB - The mathematical study of the growth of a cancer tumor gives us great progress in knowing the behavior of the cancer tumor as well as taking appropriate therapeutic measures. In this article, we endeavor to investigate a mathematical model of a cancer tumor and study its stabilization. In particular, we first discritize the continuous model connected with the dynamics of cancer tumor to get the discrete model. Then we perform several numerical simulations that will show that the proposed discrete model can behave chaotically. As a result, we study the unique fixed point stability that has a physical meaning, and finally we controlled the proposed system to stabilized its dynamics at such a point.

KW - Cancer tumor model

KW - chaotic behaviour

KW - discrete fractional calculus

KW - stability

UR - https://www.scopus.com/pages/publications/85164535700

U2 - 10.1109/ICFDA58234.2023.10153180

DO - 10.1109/ICFDA58234.2023.10153180

M3 - Conference contribution

AN - SCOPUS:85164535700

T3 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

BT - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

Y2 - 14 March 2023 through 16 March 2023

ER -

Batiha IM, Djenina N, Ouannas A, Oussaeif TE, Aoua LB, Momani S. Control of chaos in incommensurate fractional order discrete system. In 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc. 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023). doi: 10.1109/ICFDA58234.2023.10153180

Control of chaos in incommensurate fractional order discrete system

Abstract

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UN SDGs

Keywords

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