Simple identification of fractional differential equation

机译：分数阶微分方程的简单识别

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In this paper the simple identification problem for the fractional differential equation of Caputo type wes considered. This is the problem of estimation parameters, for which the quadratic criterion is minimize. For solving this issue, the Non Linear Programing technique, based on Marquardt algorithm, was used. At the end of the article the results for numerical experiments were presented.

机译：本文考虑了Caputo型分数阶微分方程的简单辨识问题。这是估计参数的问题，对于该估计参数，二次准则最小。为了解决这个问题，使用了基于Marquardt算法的非线性编程技术。在文章的最后给出了数值实验的结果。

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来源
《Mechatronic systems, mechanics and materials》|2011年|p.331-338|共8页
会议地点 Jastrzebia Gora(PL)
作者
Wojciech Mitkowski; Anna Obraczka;
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作者单位

AGH University of Science and Technology, Al. Mickiewicza 30/B1, 30-059 Krakow, Poland;

AGH University of Science and Technology, Al. Mickiewicza 30/B1, 30-059 Krakow, Poland;

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会议组织
原文格式 PDF
正文语种 eng
中图分类工程材料一般性问题;
关键词
fractional order systems; system identification methods; nonlinear parameters estimation;

机译：分数阶系统；系统识别方法；非线性参数估计;

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2. Analytical Solution with Tanh-Method and Fractional Sub-Equation Method for Non-Linear Partial Differential Equations and Corresponding Fractional Differential Equation Composed With Jumarie Fractional Derivative [J] . Uttam Ghosh, Srijan Sengupta, Susmita Sarkar, International Journal of Applied Mathematics & Statistics . 2016,第3期

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3. Simplest equation method for some time-fractional partial differential equations with conformable derivative [J] . Chen Cheng, Jiang Yao-Lin Computers & mathematics with applications . 2018,第8期

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4. Simple identification of fractional differential equation [C] . Wojciech Mitkowski, Anna Obr?czka Special Session on Mechatronic Systems, Mechanics and Materials . 2012

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5. Malliavin calculus for backward stochastic differential equations and stochastic differential equations driven by fractional Brownian motion and numerical schemes. [D] . Song, Xiaoming. 2011

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7. Application of the simplest equation method to some time-fractional partial differential equations [O] . N. Taghizadeh, M. Mirzazadeh, M. Rahimian, 2013

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Simple identification of fractional differential equation

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