Theory of fractional order in generalized thermoelectric MHD

Magdy A. Ezzat

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Theory of fractional order in generalized thermoelectric MHD

机译：广义热电MHD中的分数阶理论

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A new mathematical model of thermoelectric MHD theory has been constructed in the con text of a new consideration of heat conduction with fractional orders. This model is applied to Stokes' first problem for a conducting fluid with heat sources. Laplace transforms and state-space techniques [1 ] will be used to obtain the general solution for any set of bound ary conditions. According to the numerical results and its graphs, conclusion about the new theory has been constructed. Some comparisons have been shown in figures to estimate the effects of the fractional order parameters on all the studied fields.

机译：在考虑分数阶热传导的前提下，构建了新的热电MHD理论数学模型。该模型适用于斯托克斯关于带热源传导流体的第一个问题。拉普拉斯变换和状态空间技术[1]将用于获得任何一组边界条件的通用解。根据数值结果及其图表，得出了有关新理论的结论。图中显示了一些比较，以估计分数阶参数对所有研究领域的影响。

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来源
《Applied Mathematical Modelling》 |2011年第10期|p.4965-4978|共14页
作者
Magdy A. Ezzat;
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作者单位

Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, 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
thermoelectric mhd; fourier's law; modified riemann-liouville fractional; derivative; new fractional taylor's series; state space approach; fractional calculus;

机译：热电傅立叶定律修改的riemann-liouville分数;衍生物;新的小数泰勒级数;状态空间法;分数演算;

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1. Fractional Green-Naghdi theory for thermoelectric MHD [J] . Aldawody Dalia A., Hendy Mohamed H., Ezzat Magdy A. Waves in random and complex media . 2019,第4期

机译：用于热电MHD的分数绿色Naghdi理论
2. Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer [J] . Ezzat M.A. Physica, B. Condensed Matter . 2010,第19期

机译：具有分数导数热传递的热电MHD非牛顿流体
3. Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer [J] . Ezzat M.A. Physica, B. Condensed Matter . 2010,第19期

机译：具有分数导数热传递的热电MHD非牛顿流体
4. THE MHD FLOWS FOR A HEATED GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE [C] . Yaqing Liu, Liancun Zheng, Xinxin Zhang, ASME international heat transfer conference;IHTC14 . 2011

机译：带分数导数的加热广义OLDROYD-B流体的MHD流动
5. Generalized Fractional Revival on Graphs [D] . Drazen, Whitney Benjmamin. 2021

机译：图中的广义分数复兴
6. Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions [O] . Yang Liu, Dapeng Xie, Dandan Yang, -1

机译：带分数边界条件的分数p-Laplacian方程的两个广义Lyapunov型不等式
7. Global well-posedness of 2D generalized MHD equations with fractional diffusion [O] . Zhiqiang Wei, Weiyi Zhu 2013

机译：具有分数扩散的二维广义MHD方程的整体适定性

Theory of fractional order in generalized thermoelectric MHD

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