mathematical-theory
分数阶模型
Fractional Order ModelA mathematical representation that extends classical integer-order differential equations to include derivatives of non-integer order, often used to model systems with memory and hereditary properties. / 一种数学表示方法，它将经典的整数阶微分方程扩展到包含非整数阶导数，常用于描述具有记忆和遗传特性的系统。
- Knowledge type
- 数学理论
- First proposed or discovered
- Proposer
- Turkey Farm member
- Creator
- 农场主
- Last updated
- 2026-11-06 21:06:50
Sub-knowledge points
Higher-order knowledge points
Fractional Calculus / 数学理论Dynamical systems theory
Main parameters and performance indicators
order: The non-integer exponent defining the fractional derivative (e.g., 0.5, 0.8).memory: The inherent property of the system where past states influence future behavior.
Open problems
Analytical solutions for complex fractional differential equations.Parameter estimation and identification in noisy real-world data.
Related literature
ranked by community starsDynamical behavior of a fractional order model of toxoplasmosis infection on a complex heterogeneous networkOpen source
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1 recordsRecord title: Fractional Order Model.
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