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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124000548 |
| _version_ | 1797235491748184064 |
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| author | Marliadi Susanto Adem Kilicman Nadihah Wahi |
| author_facet | Marliadi Susanto Adem Kilicman Nadihah Wahi |
| author_sort | Marliadi Susanto |
| collection | DOAJ |
| 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 | 2024-04-24T16:48:48Z |
| format | Article |
| id | doaj.art-c883e37227e14bb9bc74c7c1ca0c2e0a |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-24T16:48:48Z |
| publishDate | 2024-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-c883e37227e14bb9bc74c7c1ca0c2e0a2024-03-29T05:51:17ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-06-0110100668Fractional growth model of abalone lengthMarliadi Susanto0Adem Kilicman1Nadihah Wahi2Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia; Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, 83125, IndonesiaDepartment of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia; Corresponding author.Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaThis 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.http://www.sciencedirect.com/science/article/pii/S2666818124000548Fractional orderGrowth modelAbalone length |
| spellingShingle | Marliadi Susanto Adem Kilicman Nadihah Wahi Fractional growth model of abalone length Partial Differential Equations in Applied Mathematics Fractional order Growth model 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 |
| topic | Fractional order Growth model Abalone length |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124000548 |
| work_keys_str_mv | AT marliadisusanto fractionalgrowthmodelofabalonelength AT ademkilicman fractionalgrowthmodelofabalonelength AT nadihahwahi fractionalgrowthmodelofabalonelength |