ANALYTIC SOLUTION OF TIME FRACTIONAL NONLINEAR DYNAMIC SYSTEM BY MODIFIED DECOMPOSITION METHOD

T. SUTRADHAR; B.K. DATTA; R.K. BERA

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ANALYTIC SOLUTION OF TIME FRACTIONAL NONLINEAR DYNAMIC SYSTEM BY MODIFIED DECOMPOSITION METHOD

机译：时变分数非线性动力系统的解析分解解析解

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摘要

Analytical and numerical results are reported for an analytical approximate solution of a nonlinear dynamic system containing fractional derivative by a modified decomposition method. Comparison with the exact and numerical solution shows that the present method performs extremely well in terms of accuracy, efficiency and simplicity.

机译：通过改进的分解方法报告了包含分数导数的非线性动力系统的解析近似解的分析和数值结果。与精确解和数值解的比较表明，本方法在准确性，效率和简单性方面表现极佳。

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《Applied Mechanics and Engineering》 |2012年第4期|1327-1337|共11页
作者
T. SUTRADHAR; B.K. DATTA; R.K. BERA;
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作者单位

Ranaghat Debnath Institution, Mission Road Ranaghat, PIN - 741 201, Nadia, West Bengal, INDIA;

Department of Mathematics, Chakdaha College Chakdaha, PIN - 741 222, Nadia, West Bengal, INDIA;

Heritage Institute of Technology BK-301, Sector-Ⅱ, Chowbaga Road Anandapur, Kolkata-700 107, INDIA;

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原文格式 PDF
正文语种 eng
中图分类
关键词
adomian decomposition method; modified decomposition method; fractional derivative; fractional differential equation;

机译：分解法改进的分解方法;分数导数分数阶微分方程;

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专利

1. ANALYTIC SOLUTION OF TIME FRACTIONAL NONLINEAR DYNAMIC SYSTEM BY MODIFIED DECOMPOSITION METHOD [J] . T. SUTRADHAR, B. K. DATTA, R. K. BERA International Journal of Applied Mechanics and Engineering . 2012,第4期

机译：时变分数非线性动力系统的解析分解解析解
2. Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method [J] . Ray SS, Chaudhuri KS, Bera RK Applied mathematics and computation . 2006,第1期

机译：修正分解法求解含分数阶导数的非线性动力系统的解析近似解
3. Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method [J] . Felicia Shirly Peace, Narmatha Sathiyaseelan, Lakshmanan Rajendran International journal of chemical engineering . 2014,第Null期

机译：改进的Adomian分解法求解自燃反应扩散系统的非线性动力学解析解
4. Approximate Analytical Solutions of Fractional Nonlinear Schrodinger Equations using Multistep Modified Reduced Differential Transform Method [C] . Che Haziqah Che Hussin, Ahmad Izani Md Ismail, Adem Kilicman, International Conference on Mathematical Sciences and Technology . 2019

机译：使用多步修改的差分变换方法进行分数非线性施罗德格方程的近似分析解
5. Computational methods for time-scale analysis of nonlinear dynamical systems. [D] . Iravanchy, Shawn. 2003

机译：非线性动力系统时标分析的计算方法。
6. Analytical Solutions of Fractional-Order Diffusion Equations by Natural Transform Decomposition Method [O] . Rasool Shah, Hassan Khan, Saima Mustafa, 2019

机译：天然变换分解方法分数阶扩散方程分析解
7. Analytical Solutions of (2+Time Fractional Order) Dimensional Physical Models, Using Modified Decomposition Method [O] . Hassan Khan, Umar Farooq, Rasool Shah, 2019

机译：（2 +时间分数级）尺寸物理模型的分析解，使用改进的分解方法

ANALYTIC SOLUTION OF TIME FRACTIONAL NONLINEAR DYNAMIC SYSTEM BY MODIFIED DECOMPOSITION METHOD

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