Math. Model. Nat. Phenom.
Volume 13, Number 1, 2018
Theory and applications of fractional differentiation
|Number of page(s)||12|
|Published online||06 April 2018|
Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate
Department of Basic Sciences and Related Studies, Mehran University of Engineering Technology,
2 Basic Engineering Sciences Department, College of Engineering Majmaah University, Majmaah 11952, Saudi Arabia
3 College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia
* Corresponding author: email@example.com
Accepted: 10 November 2017
Atangana-Baleanu fractional derivative has been applied to study heat transfer problem of magnetohydrodynamic (MHD) Maxwell fluid over a vertical plate embedded in a porous medium. The analytical solutions have been obtained for temperature distribution and velocity field by employing Laplace transforms technique for both sine and cosine oscillations of the plate. The general solutions have been expressed in terms of Fox-H function satisfying imposed conditions. The results are plotted graphically and discussed for embedded parameters such as magnetic field, Maxwell parameter, porous medium, Prandtl number and fractional parameter.
Mathematics Subject Classification: 35Q53 / 34B20 / 35G31
Key words: Atangana-Baleanu fractional derivatives / Maxwell model / Fox-H function / exact solutions
© EDP Sciences, 2018
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