基于阿达蒙分解方法的阿那olis生长分数模型
综合数学
2024-12-03 v1
摘要
本研究将麦肯特里克方程修改为具有分数阶的生长模型,用于预测阿那olis的长度生长。我们展示了该模型在使用阿达蒙分解方法和卡普uto 分数导数进行分析后,成为泰勒级数的一个特例。通过模拟不同分数阶的级数,结果表明,模型的分数阶越大,生成的级数值也越大。此外,接近真实数据的级数是分数阶为 0.5 时的级数。因此,具有分数阶的生长模型比经典整数阶模型具有更高的准确性。
引用
@article{arxiv.2412.00035,
title = {A Fractional Model of Abalone Growth using Adomian Decomposition Method},
author = {Marliadi Susanto and Nadihah Wahi and Adem Kilicman},
journal= {arXiv preprint arXiv:2412.00035},
year = {2024}
}
备注
15 pages
相关论文
查看更多相关论文 →
数值分析 · 数学
Some Solutions of Fractional Order Partial Differential Equations Using Adomian Decomposition Method
Iqra Javed, Ashfaq Ahmad, Muzammil Hussain, S. Iqbal
2017-12-27
医学物理 · 物理学
A mathematical model of tumor growth using fractional derivatives
Karen Escutia, Carlos Islas, Pablo Padilla
2026-03-17
统计方法学 · 统计学
Stochastic modeling using Adomian method and fractionnal differential equations
Komla Elom Adedje, Diakarya Barro
2022-07-28
数学物理 · 物理学
Fractional Adomian Decomposition Method
Guo-cheng Wu, Ji-Huan He
2013-04-25
经典分析与常微分方程 · 数学
A Caputo fractional derivative of a function with respect to another function
Ricardo Almeida
2016-10-12
系统与控制 · 电气工程与系统科学
Fractional Logistic Growth with Memory Effects: A Tool for Industry-Oriented Modeling
M. O. Aibinu, A. Shoukat, F. M. Mahomed
2025-10-20
数值分析 · 数学
Model-order reduction of lumped parameter systems via fractional calculus
John P. Hollkamp, Mihir Sen, Fabio Semperlotti
2016-12-22
数值分析 · 数学
Numerical Solution of Fractional Control Problems via Fractional Differential Transformation
Josef Rebenda, Zdeněk Šmarda
2024-12-20
神经与进化计算 · 计算机科学
Fractional Artificial Neural Networks for Growth Models
Juan Carlos Najera-Tinoco, Martin P. Arciga-Alejandre, Jorge Sanchez-Ortiz, Francisco J. Ariza-Hernandez
2025-11-24
综合数学 · 数学
Modelling some real phenomena by fractional differential equations
Ricardo Almeida, Nuno R. O. Bastos, M. Teresa T. Monteiro
2016-11-03
数值分析 · 数学
Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy
Junying Cao, Zhenning Cai
2020-02-25
数值分析 · 数学
Fractional Newton-Raphson Method and Some Variants for the Solution of Non-linear Systems
A. Torres-Hernandez, F. Brambila-Paz
2024-04-25
动力系统 · 数学
Modeling and administration scheduling of fractional-order pharmacokinetic systems
Domagoj Herceg, Sotiris Ntouskas, Pantelis Sopasakis, Aris Dokoumetzidis +3
2017-01-31
医学物理 · 物理学
Fractional order derivative approach of viscoelastic behavior of tropical wood
Loic Chrislin Nguedjio, Rostand Moutou Pitti, Benoit Blaysat, Pierre Kisito Talla +2
2025-06-17
定量方法 · 定量生物学
Investigation of Fractional Compartmental Models with Application to Amiodarone Drug Diffusion in Pharmacokinetics
Reindorf Nartey Borkor, Adu Sakyi, Peter Amoako-Yirenkyi
2023-06-16
计算机视觉与模式识别 · 计算机科学
Fractional Calculus In Image Processing: A Review
Qi Yang, Dali Chen, Tiebiao Zhao, YangQuan Chen
2016-08-11
数值分析 · 数学
Numerical Investigation of the Fractional Oscillation Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets
Ashish Rayal, Bhagawati Prasad Joshi, Mukesh Pandey, Delfim F. M. Torres
2023-06-05
混沌动力学 · 物理学
Mandelbrot set and Julia sets of fractional order
Marius-F. Danca, Michal Feckan
2022-10-06
组织与器官 · 定量生物学
Anomalous Advection-Diffusion Models for Avascular Tumour Growth
Sounak Sadhukhan, S. K. Basu
2019-05-15
理论经济学 · 经济学
Caputo-Type Memory Invariants: A Fractional Generalization of the Cobb-Douglas Production Function
Roman G. Smirnov
2026-05-20
动力系统 · 数学
Fractional Calculus in Pharmacokinetics
Pantelis Sopasakis, Haralambos Sarimveis, Panos Macheras, Aristides Dokoumetzidis
2019-04-25
数值分析 · 数学
Discretization of Fractional Differential Equations by a Piecewise Constant Approximation
Christopher N Angstmann, Bruce I Henry, Anna V McGann
2016-05-09
综合数学 · 数学
A New Numerical Technique For Solving Fractional Partial Differential Equations
Omer Acan, Dumitru Baleanu
2017-04-11
最优化与控制 · 数学
An Algebraic Approach for Identification of Linear Systems with Fractional Derivatives
Nicole Gehring, Joachim Rudolph
2013-02-19
统计力学 · 物理学
A new fractional operator of variable order: application in the description of anomalous diffusion
Xiao-Jun Yang, J. A. Tenreiro Machado
2017-07-18