NEWTONIAN MECHANICS ON FRACTALS SUBSET OF REAL-LINE

ALIREZA K. GOLMANKHANEH; VAHIDEH FAZLOLLAHI; DUMITRU BALEANU

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NEWTONIAN MECHANICS ON FRACTALS SUBSET OF REAL-LINE

机译：实线分数子集的牛顿力学

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In this paper, we have studied the calculus on the fractals, meanwhile Newtonian mechanics on fractals subset of real-line has been suggested. Further, work and energy theorem on fractals with the examples has been explained. Finally Langevin F~α-Equation on fractals is derived.

机译：在本文中，我们研究了分形的演算，同时提出了实线分形子集的牛顿力学。此外，已经通过示例解释了关于分形的功和能量定理。最后推导了分形的Langevin F〜α方程。

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来源
《Romanian reports in physics》 |2013年第1期|84-93|共10页
作者
ALIREZA K. GOLMANKHANEH; VAHIDEH FAZLOLLAHI; DUMITRU BALEANU;
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作者单位

Dept. of Physics, Urmia Branch, Islamic Azad University, PO Box 969, Urmia, Iran;

Dept. of Physics, Urmia Branch, Islamic Azad University, PO Box 969, Urmia, Iran;

Dept. of Mathematics and Computer Science, Cankaya University, 06530 Ankara, Turkey;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Calculus on fractal; dynamics; staircase function; Cantor set; harmonic oscillator;

机译：分形上的微积分;动力学;楼梯功能;康托集;谐波振荡器;

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专利

1. Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line [J] . Alireza Khalili Golmankhaneh, Ali Khalili Golmankhaneh, Dumitru Baleanu International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics . 2013,第11期

机译：实线分形子集的拉格朗日力学和哈密顿力学
2. New Derivatives on the Fractal Subset of Real-Line [J] . Alireza Khalili Golmankhaneh, Dumitru Baleanu Entropy . 2016,第2期

机译：实线分形子集的新导数
3. A particle distribution function approach to the equations of continuum mechanics in Cartesian, cylindrical and spherical coordinates: Newtonian and non-Newtonian fluids [J] . R.R. Huilgol, G.H.R. Kefayati Journal of Non-Newtonian Fluid Mechanics . 2018,第期

机译：笛卡尔，圆柱形和球形坐标连续内力学方程的粒子分布函数方法：牛顿和非牛顿液
4. Fractals and Randomness in Mechanics of Materials [C] . Martin Ostoja-Starzewski Advanced Course on Multiscale Modeling of Complex Materials . 2014

机译：材料力学中的分形和随机性
5. Fractals in mechanics of materials [D] . Li, Jun 2012

机译：材料力学中的分形
6. Unifying mass-action kinetics and Newtonian mechanics by means of Nambu brackets [O] . T. D. Frank 2011

机译：通过Nambu括号统一质量作用动力学和牛顿力学
7. New Derivatives on the Fractal Subset of Real-Line [O] . Alireza Khalili Golmankhaneh, Dumitru Baleanu 2016

机译：实线分形子集的新导数
8. New Dimensions in Fracture Mechanics: Fractals, Scaling and Deformation/Damage Metrics [R] . Williford, R. E. 1985

机译：断裂力学的新维度：分形，尺度和变形/损伤度量

NEWTONIAN MECHANICS ON FRACTALS SUBSET OF REAL-LINE

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