Year: 2015
Author: Magdy A. Ezzat, A. S. Sabbah, A. A. El-Bary, S. M. Ezzat
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 4 : pp. 528–548
Abstract
A new mathematical model of magnetohydrodynamic (MHD) theory has been constructed in the context of a new consideration of heat conduction with a time-fractional derivative of order 0<$α$≤1 and a time-fractional integral of order 0<$γ$≤2. This model is applied to one-dimensional problems for a thermoelectric viscoelastic fluid flow in the absence or presence of heat sources. Laplace transforms and state-space techniques [1] will be used to obtain the general solution for any set of boundary 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2013.m333
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 4 : pp. 528–548
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Author Details
-
Thermoelectric MHD with memory-dependent derivative heat transfer
Ezzat, Magdy A. | El-Bary, Alaa.A.International Communications in Heat and Mass Transfer, Vol. 75 (2016), Iss. P.270
https://doi.org/10.1016/j.icheatmasstransfer.2016.04.026 [Citations: 16] -
Bernstein polynomials iterative method for weakly singular and fractional Fredholm integral equations
Bica, Alexandru Mihai | Satmari , ZoltanStudia Universitatis Babes-Bolyai Matematica, Vol. 69 (2024), Iss. 3 P.695
https://doi.org/10.24193/subbmath.2024.3.13 [Citations: 0] -
The spectral collocation method for solving a fractional integro-differential equation
Wu, Chuanhua | Wang, ZiqiangAIMS Mathematics, Vol. 7 (2022), Iss. 6 P.9577
https://doi.org/10.3934/math.2022532 [Citations: 7] -
Electro-thermoelasticity theory with memory-dependent derivative heat transfer
Ezzat, Magdy A. | El Karamany, Ahmed S. | El-Bary, A.A.International Journal of Engineering Science, Vol. 99 (2016), Iss. P.22
https://doi.org/10.1016/j.ijengsci.2015.10.011 [Citations: 75] -
Bernstein polynomials based iterative method for solving fractional integral equations
Satmari, Zoltan | Bica, Alexandru MihaiMathematica Slovaca, Vol. 72 (2022), Iss. 6 P.1623
https://doi.org/10.1515/ms-2022-0112 [Citations: 1]