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Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative

机译：概率蚁群优化算法的比较及其在求解模型逆问题的应用中的迭代方法Caputo型分数衍生

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期刊名称 Entropy
作者
Rafał Brociek; Agata Chmielowska; Damian Słota;
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作者单位

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年(卷),期 2020(22),5
年度 2020
页码 555
总页数 12
原文格式 PDF
正文语种
中图分类
关键词
fractional derivative; fractional differential equation; inverse problem; mathematical modeling; heat conduction;

机译：分数衍生物;分数微分方程;反问题;数学建模;导热;

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专利

1. In this paper, we implement the fractional complex transform method to convert the nonlinear fractional Klein-Gordon equation (FKGE) to an ordinary differential equation. We use the variational iteration method (VIM) to solve the resulting ODE. The fractional derivatives are presented in terms of the Caputo sense. Some numerical examples are presented to validate the proposed techniques. Finally, a comparison with the numerical solution using Runge-Kutta of order four is given. [J] . M. M. Khader, M. Adel Nonlinear engineering: Modeling and application . 2016,第3期

机译：在本文中，我们采用分数阶复杂变换方法将非线性分数阶Klein-Gordon方程（FKGE）转换为常微分方程。我们使用变分迭代方法（VIM）来解决所得的ODE。分数导数以Caputo形式表示。提出了一些数值例子来验证所提出的技术。最后，与使用四阶Runge-Kutta的数值解进行了比较。
2. Application of Real Ant Colony Optimization Algorithm to Solve Space and Time Fractional Heat Conduction Inverse Problem [J] . Brociek Rafal, Slota Damian Engineering Economics . 2017,第2期

机译：实蚁群优化算法在时空分数热传导反问题求解中的应用
3. An efficient operation matrix method for solving fractal-fractional differential equations with generalized Caputo-type fractional-fractal derivative [J] . A.M. Shloof, N. Senu, A. Ahmadian, Mathematics and computers in simulation . 2021,第Octa期

机译：一种高效的操作矩阵方法，用于求解具有广义的Caputo型分数分形衍生物的分形分数微分方程
4. Computational Simulations for Solving a Class of Fractional Models via Caputo-Fabrizio Fractional Derivative [C] . A.S.V. Ravi Kanth, Neetu Garg International Conference on Smart Computing and Communications . 2018

机译：通过Caputo-Fabrizio分数衍生物解决一类分数模型的计算模拟
5. Applications of the ant colony optimization algorithm in combinatorial optimization. [D] . Seo, Minseok. 2009

机译：蚁群优化算法在组合优化中的应用。
6. Ant Colony Optimization Algorithm for Continuous Domains Based on Position Distribution Model of Ant Colony Foraging [O] . Liqiang Liu, Yuntao Dai, Jinyu Gao -1

机译：基于蚁群觅食位置分布模型的连续域蚁群优化算法
7. Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative [O] . Rafał Brociek, Agata Chmielowska, Damian Słota 2020

机译：概率蚁群优化算法的比较及其在求解模型逆问题的应用中的迭代方法，Caputo型分数衍生

Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative

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