A Fractional Model of Abalone Growth Using Adomian Decomposition Method

Authors

  • Nadihah Wahi Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
  • Marliadi Susanto Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, 83125, Indonesia
  • Adem Kilicman School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5799

Keywords:

ractional calculus, modified model, McKendrick equation, Adomian decomposition method, Taylor's series

Abstract

This study is a modification of the McKendrick equation into a growth model with fractional order to predict the abalone length growth. We have shown that the model is a special form of Taylor's series after it was analysed using Adomian decomposition method and Caputo fractional derivative. By simulating the series with some fractional orders, the results indicate that the greater the fractional order of the model, the series values generated are greater as well. Moreover, the series that is close to the real data is the one with a fractional order $\beta=0.5$. Therefore, the growth model with a fractional order provides more accuracy than a classical integer order.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical Modeling and Numerical Analysis

License

Copyright (c) 2025 Nadihah Wahi, Marliadi Susanto, Adem Kilicman

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How to Cite

A Fractional Model of Abalone Growth Using Adomian Decomposition Method. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5799. https://doi.org/10.29020/nybg.ejpam.v18i2.5799