Fractional Differential Systems: A Fuzzy Solution Based on Operational Matrix of Shifted Chebyshev Polynomials and Its Applications

Ali Ahmadian; Soheil Salahshour; Chee Seng Chan

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Fractional Differential Systems: A Fuzzy Solution Based on Operational Matrix of Shifted Chebyshev Polynomials and Its Applications

机译：分数阶微分系统：基于移位契比雪夫多项式运算矩阵的模糊解法及其应用

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摘要

In this paper, a new formula of fuzzy Caputo fractional-order derivatives (0

机译：本文推导了基于偏移切比雪夫多项式的模糊Caputo分数阶导数（0

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来源
《IEEE Transactions on Fuzzy Systems》 |2017年第1期|218-236|共19页
作者
Ali Ahmadian; Soheil Salahshour; Chee Seng Chan;
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作者单位

Centre of Image and Signal Processing, Faculty of Computer Science and Information Technology, University of Malaya, Kuala Lumpur, Malaysia;

Young Researchers and Elite Club, Islamic Azad University, Mobarakeh Branch, Mobarakeh, Iran;

Centre of Image and Signal Processing, Faculty of Computer Science and Information Technology, University of Malaya, Kuala Lumpur, Malaysia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Chebyshev approximation; Jacobian matrices; Differential equations; Fractional calculus; Concrete; Uncertainty;

机译：Chebyshev逼近;Jacobian矩阵;微分方程;分数阶微积分;具体;不确定性;

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1. Operational Matrix of Fractional Integration Based on the Shifted Second Kind Chebyshev Polynomials for Solving Fractional Differential Equations [J] . Maleknejad Khosrow, Nouri Kazem, Torkzadeh Leila Mediterranean journal of mathematics . 2016,第3期

机译：基于移位第二类Chebyshev多项式的分数阶积分运算矩阵求解分数阶微分方程。
2. Positive solutions of fuzzy fractional Volterra integro-differential equationswith the Fuzzy Caputo Fractional Derivative using the Jacobi polynomials operational matrix [J] . M.R.Nourizadeh, T. Allahviranloo, N. Mikaeilvand International journal of computer science and network security . 2018,第1期

机译：使用Jacobi多项式运算矩阵的带有模糊Caputo分数阶导数的Fuzzy分数阶Volterra积分微分方程的正解
3. An Operational Matrix of Fractional Differentiation of the Second Kind of Chebyshev Polynomial for Solving Multiterm Variable Order Fractional Differential Equation [J] . Liu Jianping, Li Xia, Wu Limeng Mathematical Problems in Engineering . 2016,第pta6期

机译：第二类Chebyshev多项式分数微分运算矩阵，用于求解多项变阶分数阶微分方程。
4. Legendre Wavelet Operational Matrix of Fractional Derivative through Wavelet-Polynomial Transformation and Its Applications on Non-Linear System of Fractional Order Differential Equations [C] . Abdulnasir Isah, Phang Chang International Conference on Mathematical Sciences and Statistics . 2016

机译：通过小波 - 多项式转换的分数衍生物的Legendre小波运算矩阵及其在分数级微分方程的非线性系统中的应用
5. Hybrid Chebyshev polynomial scheme for the numerical solution of partial differential equations. [D] . Khatri Ghimire, Balaram. 2016

机译：偏微分方程数值解的混合Chebyshev多项式方案。
6. Numerical solution of the one-dimensional fractional convection diffusion equations based on Chebyshev operational matrix [O] . Jiaquan Xie, Qingxue Huang, Xia Yang -1

机译：基于切比雪夫运算矩阵的一维分数对流扩散方程的数值解
7. An Operational Matrix Technique for Solving Variable Order Fractional Differential-Integral Equation Based on the Second Kind of Chebyshev Polynomials [O] . Jianping Liu, Xia Li, Limeng Wu 2016

机译：一种用于基于第二种Chebyshev多项式的可变阶分形差分方程的操作矩阵技术

Fractional Differential Systems: A Fuzzy Solution Based on Operational Matrix of Shifted Chebyshev Polynomials and Its Applications

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