Theory of fractional order in generalized thermoelectric MHD

Magdy A. Ezzat

doi:10.1016/j.apm.2011.04.004

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$Theory of fractional order in generalized thermoelectric MHD$

Journal article

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Theory of fractional order in generalized thermoelectric MHD

Magdy A. Ezzat

Applied mathematical modelling, Vol.35(10), pp.4965-4978

01/10/2011

DOI: https://doi.org/10.1016/j.apm.2011.04.004

Abstract

Fourier’s law

Fractional calculus

Modified Riemann–Liouville fractional derivative

New fractional Taylor’s series

State space approach

Thermoelectric MHD

A new mathematical model of thermoelectric MHD theory has been constructed in the context 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 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.

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Title: Theory of fractional order in generalized thermoelectric MHD
Creators - without role: Magdy A. Ezzat - Alexandria University
Publication Details: Applied mathematical modelling, Vol.35(10), pp.4965-4978
Publisher: Elsevier Inc
Identifiers: 9928055208331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article