Stochastic Population Growth Model Using Three-Point Fractional Formula

Shameseddin Alshorm; Iqbal M. Batiha

doi:10.1007/978-981-97-4876-1_31

Stochastic Population Growth Model Using Three-Point Fractional Formula

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

3 Scopus citations

Abstract

This paper aims to present a numerical solution to the fractional stochastic population growth model equation by using modified three-point fractional formula. Such a formula, which can be derived from the generalized Taylor theorem, is used to approximate Riemann-Liouville fractional integral operator. To show the effectiveness of the numerical method, the approximate solution is compared with the exact solution coupled with the approximate solution generated from the Euler-Maruyama method. Finally, the results of numerical experiments are supported with graphs for completeness.

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	457-465
Number of pages	9
ISBN (Print)	9789819748754
DOIs	https://doi.org/10.1007/978-981-97-4876-1_31
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

Keywords

Euler-Maruyama method
Fractional calculus
Stochastic differential equations

Access to Document

10.1007/978-981-97-4876-1_31

Cite this

Alshorm, S., & Batiha, I. M. (2024). Stochastic Population Growth Model Using Three-Point Fractional Formula. 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. 457-465). (Springer Proceedings in Mathematics and Statistics; Vol. 466). Springer. https://doi.org/10.1007/978-981-97-4876-1_31

Alshorm, Shameseddin ; Batiha, Iqbal M. / Stochastic Population Growth Model Using Three-Point Fractional Formula. 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. 457-465 (Springer Proceedings in Mathematics and Statistics).

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title = "Stochastic Population Growth Model Using Three-Point Fractional Formula",

abstract = "This paper aims to present a numerical solution to the fractional stochastic population growth model equation by using modified three-point fractional formula. Such a formula, which can be derived from the generalized Taylor theorem, is used to approximate Riemann-Liouville fractional integral operator. To show the effectiveness of the numerical method, the approximate solution is compared with the exact solution coupled with the approximate solution generated from the Euler-Maruyama method. Finally, the results of numerical experiments are supported with graphs for completeness.",

keywords = "Euler-Maruyama method, Fractional calculus, Stochastic differential equations",

author = "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\_31",

language = "English",

isbn = "9789819748754",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "457--465",

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",

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Alshorm, S & Batiha, IM 2024, Stochastic Population Growth Model Using Three-Point Fractional Formula. 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. 457-465, 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_31

Stochastic Population Growth Model Using Three-Point Fractional Formula. / 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. 457-465 (Springer Proceedings in Mathematics and Statistics; Vol. 466).

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

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T1 - Stochastic Population Growth Model Using Three-Point Fractional Formula

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 - This paper aims to present a numerical solution to the fractional stochastic population growth model equation by using modified three-point fractional formula. Such a formula, which can be derived from the generalized Taylor theorem, is used to approximate Riemann-Liouville fractional integral operator. To show the effectiveness of the numerical method, the approximate solution is compared with the exact solution coupled with the approximate solution generated from the Euler-Maruyama method. Finally, the results of numerical experiments are supported with graphs for completeness.

AB - This paper aims to present a numerical solution to the fractional stochastic population growth model equation by using modified three-point fractional formula. Such a formula, which can be derived from the generalized Taylor theorem, is used to approximate Riemann-Liouville fractional integral operator. To show the effectiveness of the numerical method, the approximate solution is compared with the exact solution coupled with the approximate solution generated from the Euler-Maruyama method. Finally, the results of numerical experiments are supported with graphs for completeness.

KW - Euler-Maruyama method

KW - Fractional calculus

KW - Stochastic differential equations

UR - https://www.scopus.com/pages/publications/85206920756

U2 - 10.1007/978-981-97-4876-1_31

DO - 10.1007/978-981-97-4876-1_31

M3 - Conference contribution

AN - SCOPUS:85206920756

SN - 9789819748754

T3 - Springer Proceedings in Mathematics and Statistics

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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 -

Stochastic Population Growth Model Using Three-Point Fractional Formula

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