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.
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