Abstract
In this article, hydromagnetic free convection flow of viscous fluid between two vertical plates is considered. The Caputo time-fractional derivative is used and the governing equations are fractionalized by means of generalized Fourier's and Fick's laws. Laplace transform coupled with the finite sine-Fourier transform which is suitable to problems with boundary conditions. Closed form general solutions are expressed in terms of Mittag-Leffler function. The effects of fractional parameters as well as physical parameters are plotted graphically. (C) 2019 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.