Fractional growth model of abalone length

This paper uses fractional growth model modified from McKendrick equation to describe the growth of abalone length. The fractional model is analyzed by generalized differential transform method to obtain Taylor’s series which is then used to predict the abalone length growth. The results are indicat...

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Main Authors: Susanto, Marliadi, Kilicman, Adem, Wahi, Nadihah
Format: Article
Language:English
Published: Elsevier 2024
Online Access:http://psasir.upm.edu.my/id/eprint/112788/
http://psasir.upm.edu.my/id/eprint/112788/1/112788.pdf
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author Susanto, Marliadi
Kilicman, Adem
Wahi, Nadihah
author_facet Susanto, Marliadi
Kilicman, Adem
Wahi, Nadihah
author_sort Susanto, Marliadi
building UPM Institutional Repository
collection Online Access
description This paper uses fractional growth model modified from McKendrick equation to describe the growth of abalone length. The fractional model is analyzed by generalized differential transform method to obtain Taylor’s series which is then used to predict the abalone length growth. The results are indicated by fractional order equal to 0.8. The results also show that by simulating the series with fractional order and integer order, the fractional model provides more robust results than the model with integer order.
first_indexed 2025-11-15T14:14:14Z
format Article
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institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T14:14:14Z
publishDate 2024
publisher Elsevier
recordtype eprints
repository_type Digital Repository
spelling upm-1127882024-11-11T08:34:07Z http://psasir.upm.edu.my/id/eprint/112788/ Fractional growth model of abalone length Susanto, Marliadi Kilicman, Adem Wahi, Nadihah This paper uses fractional growth model modified from McKendrick equation to describe the growth of abalone length. The fractional model is analyzed by generalized differential transform method to obtain Taylor’s series which is then used to predict the abalone length growth. The results are indicated by fractional order equal to 0.8. The results also show that by simulating the series with fractional order and integer order, the fractional model provides more robust results than the model with integer order. Elsevier 2024 Article PeerReviewed text en cc_by_nc_nd_4 http://psasir.upm.edu.my/id/eprint/112788/1/112788.pdf Susanto, Marliadi and Kilicman, Adem and Wahi, Nadihah (2024) Fractional growth model of abalone length. Partial Differential Equations in Applied Mathematics, 10. art. no. 100668. pp. 1-5. ISSN 2666-8181 https://www.sciencedirect.com/science/article/pii/S2666818124000548?via%3Dihub 10.1016/j.padiff.2024.100668
spellingShingle Susanto, Marliadi
Kilicman, Adem
Wahi, Nadihah
Fractional growth model of abalone length
title Fractional growth model of abalone length
title_full Fractional growth model of abalone length
title_fullStr Fractional growth model of abalone length
title_full_unstemmed Fractional growth model of abalone length
title_short Fractional growth model of abalone length
title_sort fractional growth model of abalone length
url http://psasir.upm.edu.my/id/eprint/112788/
http://psasir.upm.edu.my/id/eprint/112788/
http://psasir.upm.edu.my/id/eprint/112788/
http://psasir.upm.edu.my/id/eprint/112788/1/112788.pdf