Numerical Simulations for Fitting Parameters of Linear and Logistic-Type Fractional-, Variable-Order Equations - Comparision of Methods

被引：0

作者：

Oziablo, Piotr ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Comp Sci, Wiejska 45A, PL-15351 Bialystok, Poland

来源：

ADVANCES IN NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS | 2020年 / 559卷

关键词：

Difference equations; Eigenfunction; Fractional variable-order; Optimization algorithms;

D O I：

10.1007/978-3-030-17344-9_6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the work variable-, fractional-order backward difference of the Grunwald-Letnikov type is presented. The backward difference is used to generate simulated experimental data to which additional noise signal is added. Using prepared data four different algorithms of finding the parameter of the order function (assuming that the general family of the function is known) and constant lambda coefficient are compared. The algorithms are: trust region algorithm, particle swarm algorithm, simulated annealing algorithm and genetic algorithm.

引用

页码：72 / 85

页数：14

共 13 条

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[2]

[Anonymous], 2020, An Introduction To Genetic Algorithms

[3]

Hilfer R., 2000, Applications of fractional calculus in physics, DOI [10.1142/3779, DOI 10.1142/3779]

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