Fundamental solution for a line source of heat in the fractional order theory of thermoelasticity using the new Caputo definition

Sherief Hany H.; Raslan W. E.

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Fundamental solution for a line source of heat in the fractional order theory of thermoelasticity using the new Caputo definition

机译：使用新的Caputo定义，在热弹性的分数顺序理论中的线路源的基本解决方案

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摘要

The new Caputo Fabrizio fractional differential operator is used to investigate a problem in the fractional order theory of thermoelasticity. The problem concerns an infinite elastic space under the effect of a continuous line source of heat. The problem is solved using asymptotic expansions valid for short times. Laplace and Hankel transforms are used to solve the problem. A brief study to the nature of propagation of waves is introduced. Graphical results are presented and discussed.

机译：新的Caputo Fabrizio分数差分算子用于研究热弹性的分数阶理论中的问题。问题涉及在连续线热源的影响下的无限弹性空间。使用渐近扩展对短时间有效的渐近扩展解决了问题。 Laplace和Hankel Transforms用于解决问题。介绍了对波的传播性质的简要研究。提出和讨论了图形结果。

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来源
《Journal of thermal stresses》 |2019年第3期|18-28|共11页
作者
Sherief Hany H.; Raslan W. E.;
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作者单位

Univ Alexandria Dept Math Alexandria Egypt;

Mansoura Univ Dept Math & Engn Phys Mansoura Egypt;

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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
Asymptotic expansions; fractional order theory of thermoelasticity; Hankel transform; Laplace transforms; line source of Heat; New Caputo Fabrizio fractional derivative;

机译：渐近扩张;热弹性的分数秩序理论;霍克尔变换;拉普拉斯变换;线路源;新的Caputo Fabrizio分数衍生物;

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专利

1. Fundamental solution for a line source of heat in the fractional order theory of thermoelasticity using the new Caputo definition [J] . Sherief Hany H., Raslan W. E. Journal of thermal stresses . 2019,第1a3期

机译：使用新的Caputo定义的热弹性分数阶理论中的线热源的基本解
2. Using asymptotic expansions technique for solving the point heat source problem in the fractional theory of thermoelasticity with the Caputo Fabrizio derivative [J] . Raslan W. E. Journal of thermal stresses . 2021,第4a6期

机译：利用渐近扩展技术用Caputo Fabrizio衍生物解决热弹性分数理论中的点热源问题
3. Study of wave propagation in a half-space in the fractional-order theory of thermoelasticity using the new Caputo definition [J] . Sherief Hany H., Raslan W. E. Mathematics and mechanics of solids: MMS . 2019,第7期

机译：利用新的Caputo定义研究了热弹性分数阶理论中的半空间中的波传播研究
4. The Solution of Time Fractional Heat Equation With New Fractional Derivative Definition [C] . YUCEL CENESIZ, ALI KURT International Conference on Applied Mathematics, Simulation, Modelling . 2014

机译：具有新的分数衍生物定义的时间分数热方程的解
5. Caputo Nabla Fractional Boundary Value Problems and Integral Inequalities on Time Scales [D] . Hu, Wei 2019

机译：Caputo Nabla分数阶边值问题和时间尺度上的积分不等式
6. Characterization of the Quality Factor Due to the Static Prestress in Classical Caputo and Caputo–Fabrizio Fractional Thermoelastic Silicon Microbeam [O] . Hamdy M. Youssef, Alaa A. El-Bary, Eman A. N. Al-Lehaibi 2021

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7. A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of Thermoelasticity [O] . Tianhu He, Ying Guo 2014

机译：由于热弹性分数阶序列的移动热源导致的一维热弹性问题
8. Thermoelastic stress due to a rectangular heat source in a semi-infinite medium. Derivation of an analytical solution [R] . Claesson, J. , Probert, T. 1996

机译：半无限介质中由矩形热源引起的热弹性应力。推导出一种分析解决方案

Fundamental solution for a line source of heat in the fractional order theory of thermoelasticity using the new Caputo definition

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