Numerical Solution for Fractional-Order Glioblastoma Multiforme Model

Iqbal Jebril; Shameseddin Alshorm; Iqbal M. Batiha

doi:10.1007/978-981-97-4876-1_42

Numerical Solution for Fractional-Order Glioblastoma Multiforme Model

Iqbal Jebril
, Shameseddin Alshorm
, Iqbal M. Batiha

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan

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

4 Scopus citations

Abstract

Glioblastoma, also known as glioblastoma multiforme (GBM), is the most deadly cancer that infects the brain. Cancer is one of the most vicious killers in the world and the control of tumor growth requires special attention. The typical approach for treating GBM involves surgical resection of as much of the tumor as possible. This paper aims to present a numerical solution for a recent fractional-order model connected with glioblastoma multiforme. This will be done by employing a recent numerical scheme called the Modified Fractional Euler Method (MFEM). Some numerical comparisons will be performed between our proposed scheme and the traditional numerical scheme; Fractional Euler Method (FEM).

Original language	English
Title of host publication	Mathematical Analysis and Numerical Methods - IACMC 2023
Editors	Aliaa Burqan, Rania Saadeh, Ahmad Qazza, Osama Yusuf Ababneh, Juan C. Cortés, Kai Diethelm, Dia Zeidan
Publisher	Springer
Pages	599-607
Number of pages	9
ISBN (Print)	9789819748754
DOIs	https://doi.org/10.1007/978-981-97-4876-1_42
State	Published - 2024
Event	8th International Arab Conference on Mathematics and Computations, IACMC 2023 - Zarqa, Jordan Duration: 10 May 2023 → 12 May 2023

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	466
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	8th International Arab Conference on Mathematics and Computations, IACMC 2023
Country/Territory	Jordan
City	Zarqa
Period	10/05/23 → 12/05/23

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Caputo fractional derivative
Fractional Euler method
Fractional calculus

Access to Document

10.1007/978-981-97-4876-1_42

Cite this

Jebril, I., Alshorm, S., & Batiha, I. M. (2024). Numerical Solution for Fractional-Order Glioblastoma Multiforme Model. In A. Burqan, R. Saadeh, A. Qazza, O. Y. Ababneh, J. C. Cortés, K. Diethelm, & D. Zeidan (Eds.), Mathematical Analysis and Numerical Methods - IACMC 2023 (pp. 599-607). (Springer Proceedings in Mathematics and Statistics; Vol. 466). Springer. https://doi.org/10.1007/978-981-97-4876-1_42

Jebril, Iqbal ; Alshorm, Shameseddin ; Batiha, Iqbal M. / Numerical Solution for Fractional-Order Glioblastoma Multiforme Model. Mathematical Analysis and Numerical Methods - IACMC 2023. editor / Aliaa Burqan ; Rania Saadeh ; Ahmad Qazza ; Osama Yusuf Ababneh ; Juan C. Cortés ; Kai Diethelm ; Dia Zeidan. Springer, 2024. pp. 599-607 (Springer Proceedings in Mathematics and Statistics).

@inproceedings{9dd6f844803242278ecafab54c6b857a,

title = "Numerical Solution for Fractional-Order Glioblastoma Multiforme Model",

abstract = "Glioblastoma, also known as glioblastoma multiforme (GBM), is the most deadly cancer that infects the brain. Cancer is one of the most vicious killers in the world and the control of tumor growth requires special attention. The typical approach for treating GBM involves surgical resection of as much of the tumor as possible. This paper aims to present a numerical solution for a recent fractional-order model connected with glioblastoma multiforme. This will be done by employing a recent numerical scheme called the Modified Fractional Euler Method (MFEM). Some numerical comparisons will be performed between our proposed scheme and the traditional numerical scheme; Fractional Euler Method (FEM).",

keywords = "Caputo fractional derivative, Fractional Euler method, Fractional calculus",

author = "Iqbal Jebril and Shameseddin Alshorm and Batiha, \{Iqbal M.\}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.; 8th International Arab Conference on Mathematics and Computations, IACMC 2023 ; Conference date: 10-05-2023 Through 12-05-2023",

year = "2024",

doi = "10.1007/978-981-97-4876-1\_42",

language = "English",

isbn = "9789819748754",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "599--607",

editor = "Aliaa Burqan and Rania Saadeh and Ahmad Qazza and Ababneh, \{Osama Yusuf\} and Cort{\'e}s, \{Juan C.\} and Kai Diethelm and Dia Zeidan",

booktitle = "Mathematical Analysis and Numerical Methods - IACMC 2023",

address = "Germany",

}

Jebril, I, Alshorm, S & Batiha, IM 2024, Numerical Solution for Fractional-Order Glioblastoma Multiforme Model. in A Burqan, R Saadeh, A Qazza, OY Ababneh, JC Cortés, K Diethelm & D Zeidan (eds), Mathematical Analysis and Numerical Methods - IACMC 2023. Springer Proceedings in Mathematics and Statistics, vol. 466, Springer, pp. 599-607, 8th International Arab Conference on Mathematics and Computations, IACMC 2023, Zarqa, Jordan, 10/05/23. https://doi.org/10.1007/978-981-97-4876-1_42

Numerical Solution for Fractional-Order Glioblastoma Multiforme Model. / Jebril, Iqbal; Alshorm, Shameseddin; Batiha, Iqbal M.
Mathematical Analysis and Numerical Methods - IACMC 2023. ed. / Aliaa Burqan; Rania Saadeh; Ahmad Qazza; Osama Yusuf Ababneh; Juan C. Cortés; Kai Diethelm; Dia Zeidan. Springer, 2024. p. 599-607 (Springer Proceedings in Mathematics and Statistics; Vol. 466).

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

TY - GEN

T1 - Numerical Solution for Fractional-Order Glioblastoma Multiforme Model

AU - Jebril, Iqbal

AU - Alshorm, Shameseddin

AU - Batiha, Iqbal M.

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.

PY - 2024

Y1 - 2024

N2 - Glioblastoma, also known as glioblastoma multiforme (GBM), is the most deadly cancer that infects the brain. Cancer is one of the most vicious killers in the world and the control of tumor growth requires special attention. The typical approach for treating GBM involves surgical resection of as much of the tumor as possible. This paper aims to present a numerical solution for a recent fractional-order model connected with glioblastoma multiforme. This will be done by employing a recent numerical scheme called the Modified Fractional Euler Method (MFEM). Some numerical comparisons will be performed between our proposed scheme and the traditional numerical scheme; Fractional Euler Method (FEM).

AB - Glioblastoma, also known as glioblastoma multiforme (GBM), is the most deadly cancer that infects the brain. Cancer is one of the most vicious killers in the world and the control of tumor growth requires special attention. The typical approach for treating GBM involves surgical resection of as much of the tumor as possible. This paper aims to present a numerical solution for a recent fractional-order model connected with glioblastoma multiforme. This will be done by employing a recent numerical scheme called the Modified Fractional Euler Method (MFEM). Some numerical comparisons will be performed between our proposed scheme and the traditional numerical scheme; Fractional Euler Method (FEM).

KW - Caputo fractional derivative

KW - Fractional Euler method

KW - Fractional calculus

UR - https://www.scopus.com/pages/publications/85206935095

U2 - 10.1007/978-981-97-4876-1_42

DO - 10.1007/978-981-97-4876-1_42

M3 - Conference contribution

AN - SCOPUS:85206935095

SN - 9789819748754

T3 - Springer Proceedings in Mathematics and Statistics

SP - 599

EP - 607

BT - Mathematical Analysis and Numerical Methods - IACMC 2023

A2 - Burqan, Aliaa

A2 - Saadeh, Rania

A2 - Qazza, Ahmad

A2 - Ababneh, Osama Yusuf

A2 - Cortés, Juan C.

A2 - Diethelm, Kai

A2 - Zeidan, Dia

PB - Springer

T2 - 8th International Arab Conference on Mathematics and Computations, IACMC 2023

Y2 - 10 May 2023 through 12 May 2023

ER -