HEAT CONDUCTION EQUATION IN FRACTIONAL-ORDER DERIVATIVES

A. B. Alkhasov; R. P. Meilanov; M. R. Shabanova

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HEAT CONDUCTION EQUATION IN FRACTIONAL-ORDER DERIVATIVES

机译：分数阶导数的热传导方程

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摘要

Based on the heat conduction equation in fractional-order derivatives, the influence of the nonlocality of the heat conduction equation in time and space on temperature distribution in media with fractal structure is investigated. The cases of an infinite and semibounded straight line are considered.

机译：基于分数阶导数的热传导方程，研究了热传导方程在时间和空间上的非局部性对具有分形结构的介质中温度分布的影响。考虑无限和半边界直线的情况。

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《Journal of engineering physics and thermophysics》 |2011年第2期|共10页
作者
A. B. Alkhasov; R. P. Meilanov; M. R. Shabanova;
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正文语种 eng
中图分类工程物理学;
关键词
Fractal structure; Fractional-order derivatives; Nonlocal heat conduction equation; Mittag-Leffler function; Temperature distribution;

机译：分形结构;分数阶导数;非局部热传导方程;Mittag-Leffler函数;温度分布;

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专利

1. HEAT CONDUCTION EQUATION IN FRACTIONAL-ORDER DERIVATIVES [J] . A. B. Alkhasov, R. P. Meilanov, M. R. Shabanova Journal of engineering physics and thermophysics . 2011,第2期

机译：分数阶导数的热传导方程
2. Heat conduction modeling by using fractional-order derivatives [J] . Zecova Monika, Terpak Jan Applied mathematics and computation . 2015,第Null期

机译：使用分数阶导数进行热传导建模
3. Analytical Solutions of the One-Dimensional Heat Equations Arising in Fractal Transient Conduction with Local Fractional Derivative [J] . Ai-MingYang, CarloCattani, HosseinJafari, Abstract and applied analysis . 2013,第6期

机译：局部分数阶导数的分形瞬态传导中一维热方程的解析解
4. The modeling of heat conduction using integer-and fractional-order derivatives [C] . Zecova Monika, Terpak Jan, Dorcak L#039, International Carpathian Control Conference . 2014

机译：使用整数和分数阶导数进行热传导建模
5. Application of reduced order modeling techniques to problems in heat conduction, isoelectric focusing and differential algebraic equations [D] . Mathai, Pramod P. 2008

机译：降阶建模技术在导热，等电聚焦和微分代数方程问题中的应用
6. Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions [O] . Xin Liang, Yu-Gui Yang, Feng Gao, 2018

机译：一般分数级衍生品中的异常平流 - 分散方程：模型和系列解决方案
7. Heat conduction modeling by using fractional-order derivatives [O] . Žecová Monika, Terpák Ján 2015

机译：使用分数阶导数进行热传导建模

HEAT CONDUCTION EQUATION IN FRACTIONAL-ORDER DERIVATIVES

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