Abstract
In this article, we studied the nature (free) convection flow of bio-nanofluid between two vertical plates. We developed a fractional model in which the classical constitutive equations are generalized by using the constitutive shear stress equation and the generalized Fourier’s law. The solutions of fractional differential equations are found by means of integral transforms (Laplace and sine-Fourier transforms). Solutions are expressed in terms of generalized G-function of Lorenzo and Hartley and Mittag-Leffler function. We compare our results with numerical methods. The effects of fractional and physical parameters are graphically discussed.
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